Finding the Fourth Proportional to 296.24, 408.44 and 202.80
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Solution
The fourth proportional to 296.24, 408.44 and 202.80 is: 279.61
Step by Step Solution
- Step 1: Write the proportion equation
296.24 : 408.44 = 202.80 : x - Step 2: Convert to fraction form
296.24/408.44 = 202.80/x - Step 3: Cross multiply
296.24x = 408.44 × 202.80 - Step 4: Simplify right side
296.24x = 82,831.63 - Step 5: Solve for x
x = 82,831.63/296.24 - Step 6: Final answer
x = 279.61
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.