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Finding the Fourth Proportional to 238.08, 356.96 and 133.97

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Solution

The fourth proportional to 238.08, 356.96 and 133.97 is: 200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.08 : 356.96 = 133.97 : x
  2. Step 2: Convert to fraction form
    238.08/356.96 = 133.97/x
  3. Step 3: Cross multiply
    238.08x = 356.96 × 133.97
  4. Step 4: Simplify right side
    238.08x = 47,821.93
  5. Step 5: Solve for x
    x = 47,821.93/238.08
  6. Step 6: Final answer
    x = 200.86

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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.