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Finding the Fourth Proportional to 122.21, 184.17 and 115.73

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Solution

The fourth proportional to 122.21, 184.17 and 115.73 is: 174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.21 : 184.17 = 115.73 : x
  2. Step 2: Convert to fraction form
    122.21/184.17 = 115.73/x
  3. Step 3: Cross multiply
    122.21x = 184.17 × 115.73
  4. Step 4: Simplify right side
    122.21x = 21,314.20
  5. Step 5: Solve for x
    x = 21,314.20/122.21
  6. Step 6: Final answer
    x = 174.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.