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Finding the Fourth Proportional to 185.26, 276.87 and 136.61

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Solution

The fourth proportional to 185.26, 276.87 and 136.61 is: 204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.26 : 276.87 = 136.61 : x
  2. Step 2: Convert to fraction form
    185.26/276.87 = 136.61/x
  3. Step 3: Cross multiply
    185.26x = 276.87 × 136.61
  4. Step 4: Simplify right side
    185.26x = 37,823.39
  5. Step 5: Solve for x
    x = 37,823.39/185.26
  6. Step 6: Final answer
    x = 204.16

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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.