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Finding the Fourth Proportional to 381.26, 571.86 and 134.42

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Solution

The fourth proportional to 381.26, 571.86 and 134.42 is: 201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 571.86 = 134.42 : x
  2. Step 2: Convert to fraction form
    381.26/571.86 = 134.42/x
  3. Step 3: Cross multiply
    381.26x = 571.86 × 134.42
  4. Step 4: Simplify right side
    381.26x = 76,869.42
  5. Step 5: Solve for x
    x = 76,869.42/381.26
  6. Step 6: Final answer
    x = 201.62

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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.