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Finding the Fourth Proportional to 179.57, 269.08 and 82.01

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Solution

The fourth proportional to 179.57, 269.08 and 82.01 is: 122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.57 : 269.08 = 82.01 : x
  2. Step 2: Convert to fraction form
    179.57/269.08 = 82.01/x
  3. Step 3: Cross multiply
    179.57x = 269.08 × 82.01
  4. Step 4: Simplify right side
    179.57x = 22,066.84
  5. Step 5: Solve for x
    x = 22,066.84/179.57
  6. Step 6: Final answer
    x = 122.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.