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Finding the Fourth Proportional to 380.97, 571.54 and 149.79

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Solution

The fourth proportional to 380.97, 571.54 and 149.79 is: 224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.97 : 571.54 = 149.79 : x
  2. Step 2: Convert to fraction form
    380.97/571.54 = 149.79/x
  3. Step 3: Cross multiply
    380.97x = 571.54 × 149.79
  4. Step 4: Simplify right side
    380.97x = 85,610.98
  5. Step 5: Solve for x
    x = 85,610.98/380.97
  6. Step 6: Final answer
    x = 224.72

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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.