To inflate in a dream indicates an accumulation of outside influence. A body which inflates in a dream has been overcome with others' words, thoughts, and pressures. You may be feeling supported by your friends and family, and happily inflate and float away. Or you may be feeling puffed up by your own bravado or the high expectations of others, feeling afraid that a false image of you will burst.
An object which inflates in a dream has had its importance artificially inflated by others. For example, your computer might inflate to 10 times its size and fill your entire office if you are feeling stressed out at work.