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Finding the Fourth Proportional to 169.21, 255.20 and 163.73

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Solution

The fourth proportional to 169.21, 255.20 and 163.73 is: 246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.21 : 255.20 = 163.73 : x
  2. Step 2: Convert to fraction form
    169.21/255.20 = 163.73/x
  3. Step 3: Cross multiply
    169.21x = 255.20 × 163.73
  4. Step 4: Simplify right side
    169.21x = 41,783.90
  5. Step 5: Solve for x
    x = 41,783.90/169.21
  6. Step 6: Final answer
    x = 246.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.