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Finding the Fourth Proportional to 272.82, 406.14 and 271.20

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Solution

The fourth proportional to 272.82, 406.14 and 271.20 is: 403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.82 : 406.14 = 271.20 : x
  2. Step 2: Convert to fraction form
    272.82/406.14 = 271.20/x
  3. Step 3: Cross multiply
    272.82x = 406.14 × 271.20
  4. Step 4: Simplify right side
    272.82x = 110,145.17
  5. Step 5: Solve for x
    x = 110,145.17/272.82
  6. Step 6: Final answer
    x = 403.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.