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Finding the Fourth Proportional to 381.38, 571.96 and 150.23

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Solution

The fourth proportional to 381.38, 571.96 and 150.23 is: 225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 571.96 = 150.23 : x
  2. Step 2: Convert to fraction form
    381.38/571.96 = 150.23/x
  3. Step 3: Cross multiply
    381.38x = 571.96 × 150.23
  4. Step 4: Simplify right side
    381.38x = 85,925.55
  5. Step 5: Solve for x
    x = 85,925.55/381.38
  6. Step 6: Final answer
    x = 225.30

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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.