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Finding the Fourth Proportional to 169.32, 231.97 and 163.09

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Solution

The fourth proportional to 169.32, 231.97 and 163.09 is: 223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.32 : 231.97 = 163.09 : x
  2. Step 2: Convert to fraction form
    169.32/231.97 = 163.09/x
  3. Step 3: Cross multiply
    169.32x = 231.97 × 163.09
  4. Step 4: Simplify right side
    169.32x = 37,831.00
  5. Step 5: Solve for x
    x = 37,831.00/169.32
  6. Step 6: Final answer
    x = 223.43

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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.