Finding the Fourth Proportional to 122.60, 183.76 and 76.96
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Solution
The fourth proportional to 122.60, 183.76 and 76.96 is: 115.35
Step by Step Solution
- Step 1: Write the proportion equation
122.60 : 183.76 = 76.96 : x - Step 2: Convert to fraction form
122.60/183.76 = 76.96/x - Step 3: Cross multiply
122.60x = 183.76 × 76.96 - Step 4: Simplify right side
122.60x = 14,142.17 - Step 5: Solve for x
x = 14,142.17/122.60 - Step 6: Final answer
x = 115.35
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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.