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Finding the Fourth Proportional to 238.78, 329.52 and 135.28

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Solution

The fourth proportional to 238.78, 329.52 and 135.28 is: 186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 329.52 = 135.28 : x
  2. Step 2: Convert to fraction form
    238.78/329.52 = 135.28/x
  3. Step 3: Cross multiply
    238.78x = 329.52 × 135.28
  4. Step 4: Simplify right side
    238.78x = 44,577.62
  5. Step 5: Solve for x
    x = 44,577.62/238.78
  6. Step 6: Final answer
    x = 186.69

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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.