Finding the Fourth Proportional to 122.96, 184.62 and 77.18
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Solution
The fourth proportional to 122.96, 184.62 and 77.18 is: 115.88
Step by Step Solution
- Step 1: Write the proportion equation
122.96 : 184.62 = 77.18 : x - Step 2: Convert to fraction form
122.96/184.62 = 77.18/x - Step 3: Cross multiply
122.96x = 184.62 × 77.18 - Step 4: Simplify right side
122.96x = 14,248.97 - Step 5: Solve for x
x = 14,248.97/122.96 - Step 6: Final answer
x = 115.88
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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.