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Finding the Fourth Proportional to 185.11, 255.40 and 115.18

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Solution

The fourth proportional to 185.11, 255.40 and 115.18 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.11 : 255.40 = 115.18 : x
  2. Step 2: Convert to fraction form
    185.11/255.40 = 115.18/x
  3. Step 3: Cross multiply
    185.11x = 255.40 × 115.18
  4. Step 4: Simplify right side
    185.11x = 29,416.97
  5. Step 5: Solve for x
    x = 29,416.97/185.11
  6. Step 6: Final answer
    x = 158.92

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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.