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Finding the Fourth Proportional to 168.44, 251.05 and 161.24

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Solution

The fourth proportional to 168.44, 251.05 and 161.24 is: 240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.44 : 251.05 = 161.24 : x
  2. Step 2: Convert to fraction form
    168.44/251.05 = 161.24/x
  3. Step 3: Cross multiply
    168.44x = 251.05 × 161.24
  4. Step 4: Simplify right side
    168.44x = 40,479.30
  5. Step 5: Solve for x
    x = 40,479.30/168.44
  6. Step 6: Final answer
    x = 240.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.