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Finding the Fourth Proportional to 165.73, 248.46 and 136.66

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Solution

The fourth proportional to 165.73, 248.46 and 136.66 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.73 : 248.46 = 136.66 : x
  2. Step 2: Convert to fraction form
    165.73/248.46 = 136.66/x
  3. Step 3: Cross multiply
    165.73x = 248.46 × 136.66
  4. Step 4: Simplify right side
    165.73x = 33,954.54
  5. Step 5: Solve for x
    x = 33,954.54/165.73
  6. Step 6: Final answer
    x = 204.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.