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Finding the Fourth Proportional to 273.11, 406.79 and 271.49

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Solution

The fourth proportional to 273.11, 406.79 and 271.49 is: 404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.11 : 406.79 = 271.49 : x
  2. Step 2: Convert to fraction form
    273.11/406.79 = 271.49/x
  3. Step 3: Cross multiply
    273.11x = 406.79 × 271.49
  4. Step 4: Simplify right side
    273.11x = 110,437.04
  5. Step 5: Solve for x
    x = 110,437.04/273.11
  6. Step 6: Final answer
    x = 404.38

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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.