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Finding the Fourth Proportional to 272.64, 371.52 and 271.68

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Solution

The fourth proportional to 272.64, 371.52 and 271.68 is: 370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.64 : 371.52 = 271.68 : x
  2. Step 2: Convert to fraction form
    272.64/371.52 = 271.68/x
  3. Step 3: Cross multiply
    272.64x = 371.52 × 271.68
  4. Step 4: Simplify right side
    272.64x = 100,934.55
  5. Step 5: Solve for x
    x = 100,934.55/272.64
  6. Step 6: Final answer
    x = 370.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.