500 Two-Stroke Tech

I'm setting up an ebay speedo that includes a fuel gauge but no temperature gauge. I am trying to connect my temp sensor to the fuel gauge so that the fuel gauge position will indicate the temp.

My temp sensor has a resistance of 150 ohms at 50c and 15 ohms at 100c.

The fuel gauge reads empty at about 450 ohms and full at about 50 ohms

If i could somehow multiply the resistance of my temp sensor by 3 it would work perfectly.
Any electronics experts know how to multiply resistance? Cant find anything on google

I think it should be possible with 2 resistors - one resistor in series to the temp sensor for range correction and one parallel for the multiplication factor...

Just what came to my head while reading...

You can't fight the Ohm law.
To increase your resistance you must add another resistor in serial.
Total resistance will be the sum of each one in serial.
But you won't have the desired range.
Example : add 300 ohms in serial : resulting resistance will vary between 315 and 450 ohms.
Only way to get the range 50 - 450 would be to put 3 temperature sensor in serial !!
Forget about it.

That's right, adding a resistor in series wont give me the range. Adding a resistor in parallel wont give me the range either.

I've bought a couple of other temp sensors on ebay to see what their range is. I've also put some queries on electronics forums to see if someone is aware of a circuit I could build to achieve this.