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Finding the Fourth Proportional to 378.62, 567.86 and 213.92

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Solution

The fourth proportional to 378.62, 567.86 and 213.92 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.62 : 567.86 = 213.92 : x
  2. Step 2: Convert to fraction form
    378.62/567.86 = 213.92/x
  3. Step 3: Cross multiply
    378.62x = 567.86 × 213.92
  4. Step 4: Simplify right side
    378.62x = 121,472.70
  5. Step 5: Solve for x
    x = 121,472.70/378.62
  6. Step 6: Final answer
    x = 320.83

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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.