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Finding the Fourth Proportional to 457.40, 686.05 and 149.17

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Solution

The fourth proportional to 457.40, 686.05 and 149.17 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 686.05 = 149.17 : x
  2. Step 2: Convert to fraction form
    457.40/686.05 = 149.17/x
  3. Step 3: Cross multiply
    457.40x = 686.05 × 149.17
  4. Step 4: Simplify right side
    457.40x = 102,338.08
  5. Step 5: Solve for x
    x = 102,338.08/457.40
  6. Step 6: Final answer
    x = 223.74

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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.