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Finding the Fourth Proportional to 273.98, 408.85 and 256.52

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Solution

The fourth proportional to 273.98, 408.85 and 256.52 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 408.85 = 256.52 : x
  2. Step 2: Convert to fraction form
    273.98/408.85 = 256.52/x
  3. Step 3: Cross multiply
    273.98x = 408.85 × 256.52
  4. Step 4: Simplify right side
    273.98x = 104,876.28
  5. Step 5: Solve for x
    x = 104,876.28/273.98
  6. Step 6: Final answer
    x = 382.78

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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.