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Finding the Fourth Proportional to 180, 269.76 and 168.48

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Solution

The fourth proportional to 180, 269.76 and 168.48 is: 252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 269.76 = 168.48 : x
  2. Step 2: Convert to fraction form
    180/269.76 = 168.48/x
  3. Step 3: Cross multiply
    180x = 269.76 × 168.48
  4. Step 4: Simplify right side
    180x = 45,449.16
  5. Step 5: Solve for x
    x = 45,449.16/180
  6. Step 6: Final answer
    x = 252.50

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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.