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Finding the Fourth Proportional to 168.32, 251.94 and 127.46

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Solution

The fourth proportional to 168.32, 251.94 and 127.46 is: 190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.32 : 251.94 = 127.46 : x
  2. Step 2: Convert to fraction form
    168.32/251.94 = 127.46/x
  3. Step 3: Cross multiply
    168.32x = 251.94 × 127.46
  4. Step 4: Simplify right side
    168.32x = 32,112.27
  5. Step 5: Solve for x
    x = 32,112.27/168.32
  6. Step 6: Final answer
    x = 190.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.