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Finding the Fourth Proportional to 238.70, 329.41 and 133.78

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Solution

The fourth proportional to 238.70, 329.41 and 133.78 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.70 : 329.41 = 133.78 : x
  2. Step 2: Convert to fraction form
    238.70/329.41 = 133.78/x
  3. Step 3: Cross multiply
    238.70x = 329.41 × 133.78
  4. Step 4: Simplify right side
    238.70x = 44,067.80
  5. Step 5: Solve for x
    x = 44,067.80/238.70
  6. Step 6: Final answer
    x = 184.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.