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Finding the Fourth Proportional to 381.00, 571.39 and 149.95

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Solution

The fourth proportional to 381.00, 571.39 and 149.95 is: 224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.00 : 571.39 = 149.95 : x
  2. Step 2: Convert to fraction form
    381.00/571.39 = 149.95/x
  3. Step 3: Cross multiply
    381.00x = 571.39 × 149.95
  4. Step 4: Simplify right side
    381.00x = 85,680.27
  5. Step 5: Solve for x
    x = 85,680.27/381.00
  6. Step 6: Final answer
    x = 224.88

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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.