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Finding the Fourth Proportional to 169.46, 235.04 and 163.31

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Solution

The fourth proportional to 169.46, 235.04 and 163.31 is: 226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.46 : 235.04 = 163.31 : x
  2. Step 2: Convert to fraction form
    169.46/235.04 = 163.31/x
  3. Step 3: Cross multiply
    169.46x = 235.04 × 163.31
  4. Step 4: Simplify right side
    169.46x = 38,384.38
  5. Step 5: Solve for x
    x = 38,384.38/169.46
  6. Step 6: Final answer
    x = 226.51

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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.