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Finding the Fourth Proportional to 185.28, 276.79 and 119.74

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Solution

The fourth proportional to 185.28, 276.79 and 119.74 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 276.79 = 119.74 : x
  2. Step 2: Convert to fraction form
    185.28/276.79 = 119.74/x
  3. Step 3: Cross multiply
    185.28x = 276.79 × 119.74
  4. Step 4: Simplify right side
    185.28x = 33,142.54
  5. Step 5: Solve for x
    x = 33,142.54/185.28
  6. Step 6: Final answer
    x = 178.88

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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.