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Finding the Fourth Proportional to 120.89, 180.22 and 113.99

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Solution

The fourth proportional to 120.89, 180.22 and 113.99 is: 169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.89 : 180.22 = 113.99 : x
  2. Step 2: Convert to fraction form
    120.89/180.22 = 113.99/x
  3. Step 3: Cross multiply
    120.89x = 180.22 × 113.99
  4. Step 4: Simplify right side
    120.89x = 20,543.28
  5. Step 5: Solve for x
    x = 20,543.28/120.89
  6. Step 6: Final answer
    x = 169.93

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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.