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Finding the Fourth Proportional to 360.16, 496.92 and 229.12

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Solution

The fourth proportional to 360.16, 496.92 and 229.12 is: 316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 496.92 = 229.12 : x
  2. Step 2: Convert to fraction form
    360.16/496.92 = 229.12/x
  3. Step 3: Cross multiply
    360.16x = 496.92 × 229.12
  4. Step 4: Simplify right side
    360.16x = 113,854.31
  5. Step 5: Solve for x
    x = 113,854.31/360.16
  6. Step 6: Final answer
    x = 316.12

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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.