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Finding the Fourth Proportional to 381.52, 571.87 and 198.73

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Solution

The fourth proportional to 381.52, 571.87 and 198.73 is: 297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.52 : 571.87 = 198.73 : x
  2. Step 2: Convert to fraction form
    381.52/571.87 = 198.73/x
  3. Step 3: Cross multiply
    381.52x = 571.87 × 198.73
  4. Step 4: Simplify right side
    381.52x = 113,647.73
  5. Step 5: Solve for x
    x = 113,647.73/381.52
  6. Step 6: Final answer
    x = 297.88

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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.