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Finding the Fourth Proportional to 457.43, 686.38 and 214.13

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Solution

The fourth proportional to 457.43, 686.38 and 214.13 is: 321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.43 : 686.38 = 214.13 : x
  2. Step 2: Convert to fraction form
    457.43/686.38 = 214.13/x
  3. Step 3: Cross multiply
    457.43x = 686.38 × 214.13
  4. Step 4: Simplify right side
    457.43x = 146,975.73
  5. Step 5: Solve for x
    x = 146,975.73/457.43
  6. Step 6: Final answer
    x = 321.31

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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.