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Finding the Fourth Proportional to 169.72, 232.52 and 163.24

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Solution

The fourth proportional to 169.72, 232.52 and 163.24 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.72 : 232.52 = 163.24 : x
  2. Step 2: Convert to fraction form
    169.72/232.52 = 163.24/x
  3. Step 3: Cross multiply
    169.72x = 232.52 × 163.24
  4. Step 4: Simplify right side
    169.72x = 37,956.56
  5. Step 5: Solve for x
    x = 37,956.56/169.72
  6. Step 6: Final answer
    x = 223.64

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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.