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Finding the Fourth Proportional to 391.96, 584.05 and 348.88

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Solution

The fourth proportional to 391.96, 584.05 and 348.88 is: 519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.96 : 584.05 = 348.88 : x
  2. Step 2: Convert to fraction form
    391.96/584.05 = 348.88/x
  3. Step 3: Cross multiply
    391.96x = 584.05 × 348.88
  4. Step 4: Simplify right side
    391.96x = 203,763.36
  5. Step 5: Solve for x
    x = 203,763.36/391.96
  6. Step 6: Final answer
    x = 519.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.