Now suppose there are three parties, X, Y and Z. People *do* vote for Z, but they never win anything. They are always clearly last.

Seat A is: X 400 votes, Y 310 votes and Z 290 votes.

Seat B is: X 350 votes, Y 360 votes and Z 290 votes.

Seat C is: X 350 votes, Y 360 votes and Z 290 votes.

X wins A, Y wins B and C so Y has 2 seats, X has 1 and Z has 0 under the current system. It’s closer, because Z has grabbed some votes, but the same result.

X still gets the largest number of votes overall.

With proportional representation, Z could say, well, we got roughly one third of all the votes, so we should have one seat, so even though they were *last every time*, they could still get just as many seats as X or Y ie one each.

It’s a bit simplified, but roughly right.