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Finding the Fourth Proportional to 381.18, 571.31 and 249.47

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Solution

The fourth proportional to 381.18, 571.31 and 249.47 is: 373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 571.31 = 249.47 : x
  2. Step 2: Convert to fraction form
    381.18/571.31 = 249.47/x
  3. Step 3: Cross multiply
    381.18x = 571.31 × 249.47
  4. Step 4: Simplify right side
    381.18x = 142,522.53
  5. Step 5: Solve for x
    x = 142,522.53/381.18
  6. Step 6: Final answer
    x = 373.90

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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.