Finding the Fourth Proportional to 122.31, 183.70 and 76.75
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Solution
The fourth proportional to 122.31, 183.70 and 76.75 is: 115.27
Step by Step Solution
- Step 1: Write the proportion equation
122.31 : 183.70 = 76.75 : x - Step 2: Convert to fraction form
122.31/183.70 = 76.75/x - Step 3: Cross multiply
122.31x = 183.70 × 76.75 - Step 4: Simplify right side
122.31x = 14,098.98 - Step 5: Solve for x
x = 14,098.98/122.31 - Step 6: Final answer
x = 115.27
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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.