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Finding the Fourth Proportional to 179.96, 270.12 and 122.18

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Solution

The fourth proportional to 179.96, 270.12 and 122.18 is: 183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.96 : 270.12 = 122.18 : x
  2. Step 2: Convert to fraction form
    179.96/270.12 = 122.18/x
  3. Step 3: Cross multiply
    179.96x = 270.12 × 122.18
  4. Step 4: Simplify right side
    179.96x = 33,003.26
  5. Step 5: Solve for x
    x = 33,003.26/179.96
  6. Step 6: Final answer
    x = 183.39

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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.