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Finding the Fourth Proportional to 278.89, 417.32 and 168.79

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Solution

The fourth proportional to 278.89, 417.32 and 168.79 is: 252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.89 : 417.32 = 168.79 : x
  2. Step 2: Convert to fraction form
    278.89/417.32 = 168.79/x
  3. Step 3: Cross multiply
    278.89x = 417.32 × 168.79
  4. Step 4: Simplify right side
    278.89x = 70,439.44
  5. Step 5: Solve for x
    x = 70,439.44/278.89
  6. Step 6: Final answer
    x = 252.57

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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.