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Finding the Fourth Proportional to 381.22, 571.97 and 134.47

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Solution

The fourth proportional to 381.22, 571.97 and 134.47 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.22 : 571.97 = 134.47 : x
  2. Step 2: Convert to fraction form
    381.22/571.97 = 134.47/x
  3. Step 3: Cross multiply
    381.22x = 571.97 × 134.47
  4. Step 4: Simplify right side
    381.22x = 76,912.81
  5. Step 5: Solve for x
    x = 76,912.81/381.22
  6. Step 6: Final answer
    x = 201.75

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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.