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Finding the Fourth Proportional to 168.28, 253.92 and 161.95

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Solution

The fourth proportional to 168.28, 253.92 and 161.95 is: 244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.28 : 253.92 = 161.95 : x
  2. Step 2: Convert to fraction form
    168.28/253.92 = 161.95/x
  3. Step 3: Cross multiply
    168.28x = 253.92 × 161.95
  4. Step 4: Simplify right side
    168.28x = 41,121.88
  5. Step 5: Solve for x
    x = 41,121.88/168.28
  6. Step 6: Final answer
    x = 244.37

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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.