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Finding the Fourth Proportional to 457.80, 686.42 and 149.57

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Solution

The fourth proportional to 457.80, 686.42 and 149.57 is: 224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 686.42 = 149.57 : x
  2. Step 2: Convert to fraction form
    457.80/686.42 = 149.57/x
  3. Step 3: Cross multiply
    457.80x = 686.42 × 149.57
  4. Step 4: Simplify right side
    457.80x = 102,666.79
  5. Step 5: Solve for x
    x = 102,666.79/457.80
  6. Step 6: Final answer
    x = 224.26

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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.