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Finding the Fourth Proportional to 238.65, 329.28 and 140.37

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Solution

The fourth proportional to 238.65, 329.28 and 140.37 is: 193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.65 : 329.28 = 140.37 : x
  2. Step 2: Convert to fraction form
    238.65/329.28 = 140.37/x
  3. Step 3: Cross multiply
    238.65x = 329.28 × 140.37
  4. Step 4: Simplify right side
    238.65x = 46,221.03
  5. Step 5: Solve for x
    x = 46,221.03/238.65
  6. Step 6: Final answer
    x = 193.68

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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.