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Finding the Fourth Proportional to 121.98, 169.46 and 120.85

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Solution

The fourth proportional to 121.98, 169.46 and 120.85 is: 167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.98 : 169.46 = 120.85 : x
  2. Step 2: Convert to fraction form
    121.98/169.46 = 120.85/x
  3. Step 3: Cross multiply
    121.98x = 169.46 × 120.85
  4. Step 4: Simplify right side
    121.98x = 20,479.24
  5. Step 5: Solve for x
    x = 20,479.24/121.98
  6. Step 6: Final answer
    x = 167.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.