When a good-looking landing page does not convert, the fault is usually not the design. It is that the page does not say the same thing the ad or the search result promised. Someone clicks expecting one answer and lands on a page talking about something slightly different, so they leave. This is called message match, and it is the cheapest lever you have.
To fix it, put the ad and the page side by side and read them together. The page headline should echo the words the visitor just clicked. If the ad said "accounting for freelancers" and the page says "financial solutions for modern teams", you have broken the match. Change the headline to repeat the promise, in the visitor's own words, before you touch anything else on the page.
A landing page has one job, so give it one action. Decide the single thing you want a visitor to do and make it the obvious next move, visible without scrolling. Everything else either supports that action or gets cut. Three offers and a full navigation menu do not give people choice, they give them the exit.
Once the promise matches and the action is clear, the next thing a visitor thinks is "why should I believe you". Answer it on the page: a specific result, a real name or logo, a short piece of proof placed next to the claim it backs up. Handle the one or two obvious objections, like "is it hard to switch" or "what does it cost", right there, instead of hoping nobody thinks of them.
Test one change at a time. Rewrite the headline to match the ad, run it for enough clicks to mean something, and compare. If your traffic is thin, do not chase tiny percentage swings; make the big obvious fixes first, which are message match, one action, and proof, and you will feel those without needing a statistics degree.
Then check the boring things that quietly cost conversions: how fast the page loads on a phone, and whether the action sits above the fold on a small screen. A page that matches the ad perfectly but takes five seconds to appear still loses the click.
So open your page next to the ad that feeds it. If the promise and the payoff do not match in the first line, fix that today. It is the single change that moves the number, and it costs nothing but attention.