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Finding the Fourth Proportional to 457.97, 686.61 and 214.67

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Solution

The fourth proportional to 457.97, 686.61 and 214.67 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.97 : 686.61 = 214.67 : x
  2. Step 2: Convert to fraction form
    457.97/686.61 = 214.67/x
  3. Step 3: Cross multiply
    457.97x = 686.61 × 214.67
  4. Step 4: Simplify right side
    457.97x = 147,391.14
  5. Step 5: Solve for x
    x = 147,391.14/457.97
  6. Step 6: Final answer
    x = 321.83

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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.