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Finding the Fourth Proportional to 179.73, 269.39 and 71.39

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Solution

The fourth proportional to 179.73, 269.39 and 71.39 is: 107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.73 : 269.39 = 71.39 : x
  2. Step 2: Convert to fraction form
    179.73/269.39 = 71.39/x
  3. Step 3: Cross multiply
    179.73x = 269.39 × 71.39
  4. Step 4: Simplify right side
    179.73x = 19,232.60
  5. Step 5: Solve for x
    x = 19,232.60/179.73
  6. Step 6: Final answer
    x = 107.01

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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.