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Finding the Fourth Proportional to 278.96, 415.78 and 272.48

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Solution

The fourth proportional to 278.96, 415.78 and 272.48 is: 406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 415.78 = 272.48 : x
  2. Step 2: Convert to fraction form
    278.96/415.78 = 272.48/x
  3. Step 3: Cross multiply
    278.96x = 415.78 × 272.48
  4. Step 4: Simplify right side
    278.96x = 113,291.73
  5. Step 5: Solve for x
    x = 113,291.73/278.96
  6. Step 6: Final answer
    x = 406.12

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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.