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Finding the Fourth Proportional to 381.50, 572.25 and 159.23

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Solution

The fourth proportional to 381.50, 572.25 and 159.23 is: 238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 572.25 = 159.23 : x
  2. Step 2: Convert to fraction form
    381.50/572.25 = 159.23/x
  3. Step 3: Cross multiply
    381.50x = 572.25 × 159.23
  4. Step 4: Simplify right side
    381.50x = 91,119.37
  5. Step 5: Solve for x
    x = 91,119.37/381.50
  6. Step 6: Final answer
    x = 238.85

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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.