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Finding the Fourth Proportional to 165.01, 246.97 and 136.12

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Solution

The fourth proportional to 165.01, 246.97 and 136.12 is: 203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.01 : 246.97 = 136.12 : x
  2. Step 2: Convert to fraction form
    165.01/246.97 = 136.12/x
  3. Step 3: Cross multiply
    165.01x = 246.97 × 136.12
  4. Step 4: Simplify right side
    165.01x = 33,617.56
  5. Step 5: Solve for x
    x = 33,617.56/165.01
  6. Step 6: Final answer
    x = 203.73

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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.