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Finding the Fourth Proportional to 381.60, 571.19 and 271.85

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Solution

The fourth proportional to 381.60, 571.19 and 271.85 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.60 : 571.19 = 271.85 : x
  2. Step 2: Convert to fraction form
    381.60/571.19 = 271.85/x
  3. Step 3: Cross multiply
    381.60x = 571.19 × 271.85
  4. Step 4: Simplify right side
    381.60x = 155,273.79
  5. Step 5: Solve for x
    x = 155,273.79/381.60
  6. Step 6: Final answer
    x = 406.90

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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.