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Finding the Fourth Proportional to 165.76, 248.92 and 136.88

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Solution

The fourth proportional to 165.76, 248.92 and 136.88 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 248.92 = 136.88 : x
  2. Step 2: Convert to fraction form
    165.76/248.92 = 136.88/x
  3. Step 3: Cross multiply
    165.76x = 248.92 × 136.88
  4. Step 4: Simplify right side
    165.76x = 34,072.17
  5. Step 5: Solve for x
    x = 34,072.17/165.76
  6. Step 6: Final answer
    x = 205.55

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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.