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Finding the Fourth Proportional to 169.54, 234.89 and 165.31

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Solution

The fourth proportional to 169.54, 234.89 and 165.31 is: 229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.54 : 234.89 = 165.31 : x
  2. Step 2: Convert to fraction form
    169.54/234.89 = 165.31/x
  3. Step 3: Cross multiply
    169.54x = 234.89 × 165.31
  4. Step 4: Simplify right side
    169.54x = 38,828.65
  5. Step 5: Solve for x
    x = 38,828.65/169.54
  6. Step 6: Final answer
    x = 229.03

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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.