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Finding the Fourth Proportional to 170.97, 234.27 and 169.38

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Solution

The fourth proportional to 170.97, 234.27 and 169.38 is: 232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.97 : 234.27 = 169.38 : x
  2. Step 2: Convert to fraction form
    170.97/234.27 = 169.38/x
  3. Step 3: Cross multiply
    170.97x = 234.27 × 169.38
  4. Step 4: Simplify right side
    170.97x = 39,680.65
  5. Step 5: Solve for x
    x = 39,680.65/170.97
  6. Step 6: Final answer
    x = 232.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.