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Finding the Fourth Proportional to 179.97, 248.17 and 136.23

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Solution

The fourth proportional to 179.97, 248.17 and 136.23 is: 187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.97 : 248.17 = 136.23 : x
  2. Step 2: Convert to fraction form
    179.97/248.17 = 136.23/x
  3. Step 3: Cross multiply
    179.97x = 248.17 × 136.23
  4. Step 4: Simplify right side
    179.97x = 33,808.20
  5. Step 5: Solve for x
    x = 33,808.20/179.97
  6. Step 6: Final answer
    x = 187.85

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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.