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Finding the Fourth Proportional to 381.03, 571.37 and 149.75

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Solution

The fourth proportional to 381.03, 571.37 and 149.75 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.03 : 571.37 = 149.75 : x
  2. Step 2: Convert to fraction form
    381.03/571.37 = 149.75/x
  3. Step 3: Cross multiply
    381.03x = 571.37 × 149.75
  4. Step 4: Simplify right side
    381.03x = 85,562.66
  5. Step 5: Solve for x
    x = 85,562.66/381.03
  6. Step 6: Final answer
    x = 224.56

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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.