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Finding the Fourth Proportional to 185.01, 255.18 and 126.69

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Solution

The fourth proportional to 185.01, 255.18 and 126.69 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.01 : 255.18 = 126.69 : x
  2. Step 2: Convert to fraction form
    185.01/255.18 = 126.69/x
  3. Step 3: Cross multiply
    185.01x = 255.18 × 126.69
  4. Step 4: Simplify right side
    185.01x = 32,328.75
  5. Step 5: Solve for x
    x = 32,328.75/185.01
  6. Step 6: Final answer
    x = 174.74

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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.