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Finding the Fourth Proportional to 179.92, 248.08 and 140.48

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Solution

The fourth proportional to 179.92, 248.08 and 140.48 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.92 : 248.08 = 140.48 : x
  2. Step 2: Convert to fraction form
    179.92/248.08 = 140.48/x
  3. Step 3: Cross multiply
    179.92x = 248.08 × 140.48
  4. Step 4: Simplify right side
    179.92x = 34,850.28
  5. Step 5: Solve for x
    x = 34,850.28/179.92
  6. Step 6: Final answer
    x = 193.70

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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.