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Finding the Fourth Proportional to 179.88, 269.31 and 168.54

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Solution

The fourth proportional to 179.88, 269.31 and 168.54 is: 252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.88 : 269.31 = 168.54 : x
  2. Step 2: Convert to fraction form
    179.88/269.31 = 168.54/x
  3. Step 3: Cross multiply
    179.88x = 269.31 × 168.54
  4. Step 4: Simplify right side
    179.88x = 45,389.51
  5. Step 5: Solve for x
    x = 45,389.51/179.88
  6. Step 6: Final answer
    x = 252.33

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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.