The most important thing is to build meaningful relationships rather than have a lot of connections. Your 'connection' on LinkedIn may pass you by in real life without recognising you. Meaningful relationships always convert - one day or another. To build meaningful relationships, just show a sincere interest in a person and listen.
If you are looking for the ways to manage your network online, some tips:
- review who you follow on LinkedIn. If you will see the relevant content from relevant people - it will be easier to engage with them by liking, reposting, commenting their posts
- write posts with some useful information (reviews, small researches) and tag companies, people you want to engage with.