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Finding the Fourth Proportional to 169.09, 234.41 and 165.75

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Solution

The fourth proportional to 169.09, 234.41 and 165.75 is: 229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 234.41 = 165.75 : x
  2. Step 2: Convert to fraction form
    169.09/234.41 = 165.75/x
  3. Step 3: Cross multiply
    169.09x = 234.41 × 165.75
  4. Step 4: Simplify right side
    169.09x = 38,853.46
  5. Step 5: Solve for x
    x = 38,853.46/169.09
  6. Step 6: Final answer
    x = 229.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.