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Finding the Fourth Proportional to 329.41, 496.37 and 272.90

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Solution

The fourth proportional to 329.41, 496.37 and 272.90 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 496.37 = 272.90 : x
  2. Step 2: Convert to fraction form
    329.41/496.37 = 272.90/x
  3. Step 3: Cross multiply
    329.41x = 496.37 × 272.90
  4. Step 4: Simplify right side
    329.41x = 135,461.30
  5. Step 5: Solve for x
    x = 135,461.30/329.41
  6. Step 6: Final answer
    x = 411.23

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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.