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Finding the Fourth Proportional to 239.08, 329.92 and 140.90

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Solution

The fourth proportional to 239.08, 329.92 and 140.90 is: 194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.08 : 329.92 = 140.90 : x
  2. Step 2: Convert to fraction form
    239.08/329.92 = 140.90/x
  3. Step 3: Cross multiply
    239.08x = 329.92 × 140.90
  4. Step 4: Simplify right side
    239.08x = 46,485.73
  5. Step 5: Solve for x
    x = 46,485.73/239.08
  6. Step 6: Final answer
    x = 194.44

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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.