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Finding the Fourth Proportional to 272.72, 411.72 and 271.28

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Solution

The fourth proportional to 272.72, 411.72 and 271.28 is: 409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.72 : 411.72 = 271.28 : x
  2. Step 2: Convert to fraction form
    272.72/411.72 = 271.28/x
  3. Step 3: Cross multiply
    272.72x = 411.72 × 271.28
  4. Step 4: Simplify right side
    272.72x = 111,691.40
  5. Step 5: Solve for x
    x = 111,691.40/272.72
  6. Step 6: Final answer
    x = 409.55

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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.