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Finding the Fourth Proportional to 457.41, 686.13 and 213.78

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Solution

The fourth proportional to 457.41, 686.13 and 213.78 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.41 : 686.13 = 213.78 : x
  2. Step 2: Convert to fraction form
    457.41/686.13 = 213.78/x
  3. Step 3: Cross multiply
    457.41x = 686.13 × 213.78
  4. Step 4: Simplify right side
    457.41x = 146,680.87
  5. Step 5: Solve for x
    x = 146,680.87/457.41
  6. Step 6: Final answer
    x = 320.68

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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.