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Finding the Fourth Proportional to 360.25, 496.45 and 249.52

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Solution

The fourth proportional to 360.25, 496.45 and 249.52 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.25 : 496.45 = 249.52 : x
  2. Step 2: Convert to fraction form
    360.25/496.45 = 249.52/x
  3. Step 3: Cross multiply
    360.25x = 496.45 × 249.52
  4. Step 4: Simplify right side
    360.25x = 123,870.47
  5. Step 5: Solve for x
    x = 123,870.47/360.25
  6. Step 6: Final answer
    x = 343.85

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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.