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Finding the Fourth Proportional to 179.18, 268.54 and 81.54

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Solution

The fourth proportional to 179.18, 268.54 and 81.54 is: 122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.18 : 268.54 = 81.54 : x
  2. Step 2: Convert to fraction form
    179.18/268.54 = 81.54/x
  3. Step 3: Cross multiply
    179.18x = 268.54 × 81.54
  4. Step 4: Simplify right side
    179.18x = 21,896.55
  5. Step 5: Solve for x
    x = 21,896.55/179.18
  6. Step 6: Final answer
    x = 122.21

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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.