Finding the Fourth Proportional to 122.29, 183.73 and 115.74
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Solution
The fourth proportional to 122.29, 183.73 and 115.74 is: 173.89
Step by Step Solution
- Step 1: Write the proportion equation
122.29 : 183.73 = 115.74 : x - Step 2: Convert to fraction form
122.29/183.73 = 115.74/x - Step 3: Cross multiply
122.29x = 183.73 × 115.74 - Step 4: Simplify right side
122.29x = 21,264.91 - Step 5: Solve for x
x = 21,264.91/122.29 - Step 6: Final answer
x = 173.89
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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.