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Finding the Fourth Proportional to 381.17, 571.46 and 150.22

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Solution

The fourth proportional to 381.17, 571.46 and 150.22 is: 225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.17 : 571.46 = 150.22 : x
  2. Step 2: Convert to fraction form
    381.17/571.46 = 150.22/x
  3. Step 3: Cross multiply
    381.17x = 571.46 × 150.22
  4. Step 4: Simplify right side
    381.17x = 85,844.72
  5. Step 5: Solve for x
    x = 85,844.72/381.17
  6. Step 6: Final answer
    x = 225.21

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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.