Some adjectives go with certain prepositions. There is no real pattern – you need to learn them as you meet them. Here are some examples but remember that there are many other adjective + preposition combinations that are not covered here.
I’m quite good at English but I’m bad at maths and I’m terrible at physics.
Jogging is good for your health but smoking is bad for you.
The town is famous for its cheese.
As well as ‘good for’, ‘bad for’ and ‘famous for’ we also say ‘qualified for’ ‘ready for’, ‘responsible for’, ‘suitable for’ and several others.
I’m perfectly capable of doing it myself, thank you.
I’m very fond of this old sweatshirt.
As well as ‘capable of’ and ‘fond of’ we also say ‘aware of’, ‘full of’, ‘tired of’ and several others.
We’re very pleased with your progress.
You’re not still angry with me are you?
As well as ‘pleased with’ and ‘angry with’ we also say ‘bored with’, ‘delighted with’, ‘satisfied with’ and several others.
She’s the one who’s married to a doctor, isn’t she?
You’ll be responsible to the head of the Finance department.
Notice that you can be responsible for something but responsible to someone.
Other common adjective + preposition combinations include ‘interested in’ and ‘keen on’. It’s a good idea to make a note of new combinations in your vocabulary notebook as you meet them. Remember too that a preposition is followed by a noun or a gerund (‘ing’ form).