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Finding the Fourth Proportional to 278.25, 416.82 and 168.60

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Solution

The fourth proportional to 278.25, 416.82 and 168.60 is: 252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 416.82 = 168.60 : x
  2. Step 2: Convert to fraction form
    278.25/416.82 = 168.60/x
  3. Step 3: Cross multiply
    278.25x = 416.82 × 168.60
  4. Step 4: Simplify right side
    278.25x = 70,275.85
  5. Step 5: Solve for x
    x = 70,275.85/278.25
  6. Step 6: Final answer
    x = 252.56

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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.