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Finding the Fourth Proportional to 391.96, 584.46 and 375.76

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Solution

The fourth proportional to 391.96, 584.46 and 375.76 is: 560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.96 : 584.46 = 375.76 : x
  2. Step 2: Convert to fraction form
    391.96/584.46 = 375.76/x
  3. Step 3: Cross multiply
    391.96x = 584.46 × 375.76
  4. Step 4: Simplify right side
    391.96x = 219,616.69
  5. Step 5: Solve for x
    x = 219,616.69/391.96
  6. Step 6: Final answer
    x = 560.30

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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.