With the development of wider rims, wider tires were also developed. However, different tire and rim widths cannot be arbitrarily combined. Simply put, the wider a rim the wider tires can be mounted. An overview of the possible combinations can be found here:
If the same tire model is used on rims of different widths, the effective cross-section of the tire is altered, as is the tire support. Therefore the right combination is crucial for ideal driving performance.