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Finding the Fourth Proportional to 391.52, 536.98 and 381.76

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Solution

The fourth proportional to 391.52, 536.98 and 381.76 is: 523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.52 : 536.98 = 381.76 : x
  2. Step 2: Convert to fraction form
    391.52/536.98 = 381.76/x
  3. Step 3: Cross multiply
    391.52x = 536.98 × 381.76
  4. Step 4: Simplify right side
    391.52x = 204,997.48
  5. Step 5: Solve for x
    x = 204,997.48/391.52
  6. Step 6: Final answer
    x = 523.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.