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Finding the Fourth Proportional to 121.25, 182 and 99.83

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Solution

The fourth proportional to 121.25, 182 and 99.83 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.25 : 182 = 99.83 : x
  2. Step 2: Convert to fraction form
    121.25/182 = 99.83/x
  3. Step 3: Cross multiply
    121.25x = 182 × 99.83
  4. Step 4: Simplify right side
    121.25x = 18,169.06
  5. Step 5: Solve for x
    x = 18,169.06/121.25
  6. Step 6: Final answer
    x = 149.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.