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Finding the Fourth Proportional to 121.92, 184 and 120.80

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Solution

The fourth proportional to 121.92, 184 and 120.80 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 184 = 120.80 : x
  2. Step 2: Convert to fraction form
    121.92/184 = 120.80/x
  3. Step 3: Cross multiply
    121.92x = 184 × 120.80
  4. Step 4: Simplify right side
    121.92x = 22,227.20
  5. Step 5: Solve for x
    x = 22,227.20/121.92
  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.