Finding the Fourth Proportional to 122.70, 183.70 and 113.13
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Solution
The fourth proportional to 122.70, 183.70 and 113.13 is: 169.37
Step by Step Solution
- Step 1: Write the proportion equation
122.70 : 183.70 = 113.13 : x - Step 2: Convert to fraction form
122.70/183.70 = 113.13/x - Step 3: Cross multiply
122.70x = 183.70 × 113.13 - Step 4: Simplify right side
122.70x = 20,781.98 - Step 5: Solve for x
x = 20,781.98/122.70 - Step 6: Final answer
x = 169.37
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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.