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Finding the Fourth Proportional to 278.38, 415.67 and 268.12

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Solution

The fourth proportional to 278.38, 415.67 and 268.12 is: 400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.38 : 415.67 = 268.12 : x
  2. Step 2: Convert to fraction form
    278.38/415.67 = 268.12/x
  3. Step 3: Cross multiply
    278.38x = 415.67 × 268.12
  4. Step 4: Simplify right side
    278.38x = 111,449.44
  5. Step 5: Solve for x
    x = 111,449.44/278.38
  6. Step 6: Final answer
    x = 400.35

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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.