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Finding the Fourth Proportional to 207.73, 311.78 and 121.15

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Solution

The fourth proportional to 207.73, 311.78 and 121.15 is: 181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.73 : 311.78 = 121.15 : x
  2. Step 2: Convert to fraction form
    207.73/311.78 = 121.15/x
  3. Step 3: Cross multiply
    207.73x = 311.78 × 121.15
  4. Step 4: Simplify right side
    207.73x = 37,772.15
  5. Step 5: Solve for x
    x = 37,772.15/207.73
  6. Step 6: Final answer
    x = 181.83

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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.