Finding the Fourth Proportional to 122.87, 184.08 and 77.31
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Solution
The fourth proportional to 122.87, 184.08 and 77.31 is: 115.82
Step by Step Solution
- Step 1: Write the proportion equation
122.87 : 184.08 = 77.31 : x - Step 2: Convert to fraction form
122.87/184.08 = 77.31/x - Step 3: Cross multiply
122.87x = 184.08 × 77.31 - Step 4: Simplify right side
122.87x = 14,231.22 - Step 5: Solve for x
x = 14,231.22/122.87 - Step 6: Final answer
x = 115.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.