If a car can travel 340 miles on 14gallons of gas ,then how many more gallons are needed for this car to travel 544miles ?(usr proportions)

conversion factor is

(14 gal/340 mi)

(14 gal/340 mi)(544 mi) = 22.4 needed for whole trip
so
22.4-14 = 8.4 more needed
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with proportions (I do physics not math so not my thing)
14/340 = x/544
so
x = (14/340)544 again

To solve this problem using proportions, we need to set up a ratio based on the given information.

Given:
Distance traveled: 340 miles
Amount of gas used: 14 gallons

We can set up the proportion as follows:
Distance / Amount of gas = Distance / Amount of gas

Using the given information, our proportion becomes:
340 miles / 14 gallons = 544 miles / x gallons

To solve for x (the unknown amount of gas needed), we can cross-multiply and solve for x.

Cross-multiplying:
340 * x = 14 * 544

This simplifies to:
340x = 7616

Dividing both sides by 340:
x = 7616 / 340

The final calculation is:
x = 22.4

Therefore, 22.4 gallons are needed for the car to travel 544 miles. Since we can't have fractions of a gallon, we round up the answer to the nearest whole number. So, the car would need 23 more gallons to travel 544 miles.