Finding the Fourth Proportional to 178.08, 267.08 and 81.92
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Solution
The fourth proportional to 178.08, 267.08 and 81.92 is: 122.86
Step by Step Solution
- Step 1: Write the proportion equation
178.08 : 267.08 = 81.92 : x - Step 2: Convert to fraction form
178.08/267.08 = 81.92/x - Step 3: Cross multiply
178.08x = 267.08 × 81.92 - Step 4: Simplify right side
178.08x = 21,879.19 - Step 5: Solve for x
x = 21,879.19/178.08 - Step 6: Final answer
x = 122.86
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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.