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Finding the Fourth Proportional to 278.76, 415.77 and 273.90

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Solution

The fourth proportional to 278.76, 415.77 and 273.90 is: 408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.76 : 415.77 = 273.90 : x
  2. Step 2: Convert to fraction form
    278.76/415.77 = 273.90/x
  3. Step 3: Cross multiply
    278.76x = 415.77 × 273.90
  4. Step 4: Simplify right side
    278.76x = 113,879.40
  5. Step 5: Solve for x
    x = 113,879.40/278.76
  6. Step 6: Final answer
    x = 408.52

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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.