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Finding the Fourth Proportional to 329.30, 496.21 and 272.80

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Solution

The fourth proportional to 329.30, 496.21 and 272.80 is: 411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.30 : 496.21 = 272.80 : x
  2. Step 2: Convert to fraction form
    329.30/496.21 = 272.80/x
  3. Step 3: Cross multiply
    329.30x = 496.21 × 272.80
  4. Step 4: Simplify right side
    329.30x = 135,366.09
  5. Step 5: Solve for x
    x = 135,366.09/329.30
  6. Step 6: Final answer
    x = 411.07

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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.