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Finding the Fourth Proportional to 238.70, 329.40 and 140.46

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Solution

The fourth proportional to 238.70, 329.40 and 140.46 is: 193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.70 : 329.40 = 140.46 : x
  2. Step 2: Convert to fraction form
    238.70/329.40 = 140.46/x
  3. Step 3: Cross multiply
    238.70x = 329.40 × 140.46
  4. Step 4: Simplify right side
    238.70x = 46,267.52
  5. Step 5: Solve for x
    x = 46,267.52/238.70
  6. Step 6: Final answer
    x = 193.83

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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.