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Finding the Fourth Proportional to 207.97, 311.86 and 197.71

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Solution

The fourth proportional to 207.97, 311.86 and 197.71 is: 296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.97 : 311.86 = 197.71 : x
  2. Step 2: Convert to fraction form
    207.97/311.86 = 197.71/x
  3. Step 3: Cross multiply
    207.97x = 311.86 × 197.71
  4. Step 4: Simplify right side
    207.97x = 61,657.84
  5. Step 5: Solve for x
    x = 61,657.84/207.97
  6. Step 6: Final answer
    x = 296.47

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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.