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Finding the Fourth Proportional to 400.72, 600.42 and 238.20

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Solution

The fourth proportional to 400.72, 600.42 and 238.20 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.72 : 600.42 = 238.20 : x
  2. Step 2: Convert to fraction form
    400.72/600.42 = 238.20/x
  3. Step 3: Cross multiply
    400.72x = 600.42 × 238.20
  4. Step 4: Simplify right side
    400.72x = 143,020.04
  5. Step 5: Solve for x
    x = 143,020.04/400.72
  6. Step 6: Final answer
    x = 356.91

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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.