Are we dating?

I’ve been seeing this guy, we met on tinder and we’ve seen each other approximately four times on dates and it’s about to be five this Thursday. The only problem is I don’t know if we are dating. We text often, longest we went without talking was probably a day or two. He says he isn’t talking to anyone else when I asked him if we were exclusive. And I told him same. He also says he wants what I want and I told him I want a relationship. He’s never had a gf before but says he wants to try being bf and gf because he’s never had it but wants to with me. And lastly he wants to introduce me to his friends and family etc and always makes future plans with me so I know he’s pretty serious. So are we dating? He hasn’t asked to be his gf yet. Maybe I’m rushing it.. but I’m nervous to ask him if we are dating or not because I don’t wanna come off as clingy.