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Finding the Fourth Proportional to 238.57, 329.24 and 138.98

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Solution

The fourth proportional to 238.57, 329.24 and 138.98 is: 191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.57 : 329.24 = 138.98 : x
  2. Step 2: Convert to fraction form
    238.57/329.24 = 138.98/x
  3. Step 3: Cross multiply
    238.57x = 329.24 × 138.98
  4. Step 4: Simplify right side
    238.57x = 45,758.95
  5. Step 5: Solve for x
    x = 45,758.95/238.57
  6. Step 6: Final answer
    x = 191.81

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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.