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Finding the Fourth Proportional to 379.91, 517.24 and 378.73

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Solution

The fourth proportional to 379.91, 517.24 and 378.73 is: 515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.91 : 517.24 = 378.73 : x
  2. Step 2: Convert to fraction form
    379.91/517.24 = 378.73/x
  3. Step 3: Cross multiply
    379.91x = 517.24 × 378.73
  4. Step 4: Simplify right side
    379.91x = 195,890.39
  5. Step 5: Solve for x
    x = 195,890.39/379.91
  6. Step 6: Final answer
    x = 515.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.