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Finding the Fourth Proportional to 179.80, 269.56 and 71.62

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Solution

The fourth proportional to 179.80, 269.56 and 71.62 is: 107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.80 : 269.56 = 71.62 : x
  2. Step 2: Convert to fraction form
    179.80/269.56 = 71.62/x
  3. Step 3: Cross multiply
    179.80x = 269.56 × 71.62
  4. Step 4: Simplify right side
    179.80x = 19,305.89
  5. Step 5: Solve for x
    x = 19,305.89/179.80
  6. Step 6: Final answer
    x = 107.37

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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.