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Finding the Fourth Proportional to 278.67, 418.10 and 170.49

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Solution

The fourth proportional to 278.67, 418.10 and 170.49 is: 255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 418.10 = 170.49 : x
  2. Step 2: Convert to fraction form
    278.67/418.10 = 170.49/x
  3. Step 3: Cross multiply
    278.67x = 418.10 × 170.49
  4. Step 4: Simplify right side
    278.67x = 71,281.87
  5. Step 5: Solve for x
    x = 71,281.87/278.67
  6. Step 6: Final answer
    x = 255.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.