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Finding the Fourth Proportional to 169.65, 252.70 and 161.75

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Solution

The fourth proportional to 169.65, 252.70 and 161.75 is: 240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.65 : 252.70 = 161.75 : x
  2. Step 2: Convert to fraction form
    169.65/252.70 = 161.75/x
  3. Step 3: Cross multiply
    169.65x = 252.70 × 161.75
  4. Step 4: Simplify right side
    169.65x = 40,874.45
  5. Step 5: Solve for x
    x = 40,874.45/169.65
  6. Step 6: Final answer
    x = 240.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.