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Finding the Fourth Proportional to 409.67, 614.50 and 166.19

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Solution

The fourth proportional to 409.67, 614.50 and 166.19 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.67 : 614.50 = 166.19 : x
  2. Step 2: Convert to fraction form
    409.67/614.50 = 166.19/x
  3. Step 3: Cross multiply
    409.67x = 614.50 × 166.19
  4. Step 4: Simplify right side
    409.67x = 102,123.76
  5. Step 5: Solve for x
    x = 102,123.76/409.67
  6. Step 6: Final answer
    x = 249.28

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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.