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Finding the Fourth Proportional to 273.86, 408.39 and 271.38

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Solution

The fourth proportional to 273.86, 408.39 and 271.38 is: 404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 408.39 = 271.38 : x
  2. Step 2: Convert to fraction form
    273.86/408.39 = 271.38/x
  3. Step 3: Cross multiply
    273.86x = 408.39 × 271.38
  4. Step 4: Simplify right side
    273.86x = 110,829.39
  5. Step 5: Solve for x
    x = 110,829.39/273.86
  6. Step 6: Final answer
    x = 404.70

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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.