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Finding the Fourth Proportional to 329.24, 496.15 and 272.72

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Solution

The fourth proportional to 329.24, 496.15 and 272.72 is: 410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.24 : 496.15 = 272.72 : x
  2. Step 2: Convert to fraction form
    329.24/496.15 = 272.72/x
  3. Step 3: Cross multiply
    329.24x = 496.15 × 272.72
  4. Step 4: Simplify right side
    329.24x = 135,310.03
  5. Step 5: Solve for x
    x = 135,310.03/329.24
  6. Step 6: Final answer
    x = 410.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.