Finding the Fourth Proportional to 116.38, 174.38 and 82.08
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Solution
The fourth proportional to 116.38, 174.38 and 82.08 is: 122.99
Step by Step Solution
- Step 1: Write the proportion equation
116.38 : 174.38 = 82.08 : x - Step 2: Convert to fraction form
116.38/174.38 = 82.08/x - Step 3: Cross multiply
116.38x = 174.38 × 82.08 - Step 4: Simplify right side
116.38x = 14,313.30 - Step 5: Solve for x
x = 14,313.30/116.38 - Step 6: Final answer
x = 122.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.