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Finding the Fourth Proportional to 122.48, 182.18 and 119.44

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Solution

The fourth proportional to 122.48, 182.18 and 119.44 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.48 : 182.18 = 119.44 : x
  2. Step 2: Convert to fraction form
    122.48/182.18 = 119.44/x
  3. Step 3: Cross multiply
    122.48x = 182.18 × 119.44
  4. Step 4: Simplify right side
    122.48x = 21,759.58
  5. Step 5: Solve for x
    x = 21,759.58/122.48
  6. Step 6: Final answer
    x = 177.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.