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Finding the Fourth Proportional to 272.28, 408.18 and 180.69

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Solution

The fourth proportional to 272.28, 408.18 and 180.69 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.28 : 408.18 = 180.69 : x
  2. Step 2: Convert to fraction form
    272.28/408.18 = 180.69/x
  3. Step 3: Cross multiply
    272.28x = 408.18 × 180.69
  4. Step 4: Simplify right side
    272.28x = 73,754.04
  5. Step 5: Solve for x
    x = 73,754.04/272.28
  6. Step 6: Final answer
    x = 270.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.