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Finding the Fourth Proportional to 122.18, 184.14 and 120.96

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Solution

The fourth proportional to 122.18, 184.14 and 120.96 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.18 : 184.14 = 120.96 : x
  2. Step 2: Convert to fraction form
    122.18/184.14 = 120.96/x
  3. Step 3: Cross multiply
    122.18x = 184.14 × 120.96
  4. Step 4: Simplify right side
    122.18x = 22,273.57
  5. Step 5: Solve for x
    x = 22,273.57/122.18
  6. Step 6: Final answer
    x = 182.31

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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.