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Finding the Fourth Proportional to 360.28, 496.42 and 243.64

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Solution

The fourth proportional to 360.28, 496.42 and 243.64 is: 335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 496.42 = 243.64 : x
  2. Step 2: Convert to fraction form
    360.28/496.42 = 243.64/x
  3. Step 3: Cross multiply
    360.28x = 496.42 × 243.64
  4. Step 4: Simplify right side
    360.28x = 120,947.77
  5. Step 5: Solve for x
    x = 120,947.77/360.28
  6. Step 6: Final answer
    x = 335.70

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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.