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Finding the Fourth Proportional to 119.26, 178.74 and 55

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Solution

The fourth proportional to 119.26, 178.74 and 55 is: 82.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.26 : 178.74 = 55 : x
  2. Step 2: Convert to fraction form
    119.26/178.74 = 55/x
  3. Step 3: Cross multiply
    119.26x = 178.74 × 55
  4. Step 4: Simplify right side
    119.26x = 9,830.70
  5. Step 5: Solve for x
    x = 9,830.70/119.26
  6. Step 6: Final answer
    x = 82.43

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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.