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Finding the Fourth Proportional to 457.91, 686.86 and 214.61

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Solution

The fourth proportional to 457.91, 686.86 and 214.61 is: 321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.91 : 686.86 = 214.61 : x
  2. Step 2: Convert to fraction form
    457.91/686.86 = 214.61/x
  3. Step 3: Cross multiply
    457.91x = 686.86 × 214.61
  4. Step 4: Simplify right side
    457.91x = 147,403.05
  5. Step 5: Solve for x
    x = 147,403.05/457.91
  6. Step 6: Final answer
    x = 321.90

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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.