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Finding the Fourth Proportional to 185.05, 255.04 and 126.73

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Solution

The fourth proportional to 185.05, 255.04 and 126.73 is: 174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.05 : 255.04 = 126.73 : x
  2. Step 2: Convert to fraction form
    185.05/255.04 = 126.73/x
  3. Step 3: Cross multiply
    185.05x = 255.04 × 126.73
  4. Step 4: Simplify right side
    185.05x = 32,321.22
  5. Step 5: Solve for x
    x = 32,321.22/185.05
  6. Step 6: Final answer
    x = 174.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.