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Finding the Fourth Proportional to 360.28, 496.38 and 272.44

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Solution

The fourth proportional to 360.28, 496.38 and 272.44 is: 375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 496.38 = 272.44 : x
  2. Step 2: Convert to fraction form
    360.28/496.38 = 272.44/x
  3. Step 3: Cross multiply
    360.28x = 496.38 × 272.44
  4. Step 4: Simplify right side
    360.28x = 135,233.77
  5. Step 5: Solve for x
    x = 135,233.77/360.28
  6. Step 6: Final answer
    x = 375.36

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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.