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Finding the Fourth Proportional to 391.30, 586.97 and 102.73

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Solution

The fourth proportional to 391.30, 586.97 and 102.73 is: 154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.30 : 586.97 = 102.73 : x
  2. Step 2: Convert to fraction form
    391.30/586.97 = 102.73/x
  3. Step 3: Cross multiply
    391.30x = 586.97 × 102.73
  4. Step 4: Simplify right side
    391.30x = 60,299.43
  5. Step 5: Solve for x
    x = 60,299.43/391.30
  6. Step 6: Final answer
    x = 154.10

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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.