Finding the Fourth Proportional to 122.48, 183.88 and 76.92
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Solution
The fourth proportional to 122.48, 183.88 and 76.92 is: 115.48
Step by Step Solution
- Step 1: Write the proportion equation
122.48 : 183.88 = 76.92 : x - Step 2: Convert to fraction form
122.48/183.88 = 76.92/x - Step 3: Cross multiply
122.48x = 183.88 × 76.92 - Step 4: Simplify right side
122.48x = 14,144.05 - Step 5: Solve for x
x = 14,144.05/122.48 - Step 6: Final answer
x = 115.48
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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.