Finding the Fourth Proportional to 207.28, 286.08 and 120
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Solution
The fourth proportional to 207.28, 286.08 and 120 is: 165.62
Step by Step Solution
- Step 1: Write the proportion equation
207.28 : 286.08 = 120 : x - Step 2: Convert to fraction form
207.28/286.08 = 120/x - Step 3: Cross multiply
207.28x = 286.08 × 120 - Step 4: Simplify right side
207.28x = 34,329.60 - Step 5: Solve for x
x = 34,329.60/207.28 - Step 6: Final answer
x = 165.62
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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.