Owing taxes at the end of the year.

My wife and I file our taxes each year as married filing jointly with three dependents. She is the the only income source for our family and she receives an annual pay scale increase each July. We recently found ourselves owing about $2,000 when we filed this year. After completing our taxes through turbo tax we received the prepayment forms to send to the IRS during this upcoming year. In June we will send in our second prepayment. My question is can we send in June's payment and then adjust her W4 to indicate what we would like held by her employer for the future? She is paid once a month. Our goal is to have the correct amount withheld so that we do not have to make prepayments in the future. If we had her W4 adjusted to withhold $200 per month going forward would that be the right way to go?