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Finding the Fourth Proportional to 381.98, 572.16 and 237.80

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Solution

The fourth proportional to 381.98, 572.16 and 237.80 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.98 : 572.16 = 237.80 : x
  2. Step 2: Convert to fraction form
    381.98/572.16 = 237.80/x
  3. Step 3: Cross multiply
    381.98x = 572.16 × 237.80
  4. Step 4: Simplify right side
    381.98x = 136,059.65
  5. Step 5: Solve for x
    x = 136,059.65/381.98
  6. Step 6: Final answer
    x = 356.20

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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.