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Finding the Fourth Proportional to 457.45, 686.12 and 149.24

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Solution

The fourth proportional to 457.45, 686.12 and 149.24 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.45 : 686.12 = 149.24 : x
  2. Step 2: Convert to fraction form
    457.45/686.12 = 149.24/x
  3. Step 3: Cross multiply
    457.45x = 686.12 × 149.24
  4. Step 4: Simplify right side
    457.45x = 102,396.92
  5. Step 5: Solve for x
    x = 102,396.92/457.45
  6. Step 6: Final answer
    x = 223.85

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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.