Finding the Fourth Proportional to 122.51, 183.84 and 61.70
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Solution
The fourth proportional to 122.51, 183.84 and 61.70 is: 92.58
Step by Step Solution
- Step 1: Write the proportion equation
122.51 : 183.84 = 61.70 : x - Step 2: Convert to fraction form
122.51/183.84 = 61.70/x - Step 3: Cross multiply
122.51x = 183.84 × 61.70 - Step 4: Simplify right side
122.51x = 11,341.70 - Step 5: Solve for x
x = 11,341.70/122.51 - Step 6: Final answer
x = 92.58
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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.