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Finding the Fourth Proportional to 197.87, 296.80 and 82.31

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Solution

The fourth proportional to 197.87, 296.80 and 82.31 is: 123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.87 : 296.80 = 82.31 : x
  2. Step 2: Convert to fraction form
    197.87/296.80 = 82.31/x
  3. Step 3: Cross multiply
    197.87x = 296.80 × 82.31
  4. Step 4: Simplify right side
    197.87x = 24,428.66
  5. Step 5: Solve for x
    x = 24,428.66/197.87
  6. Step 6: Final answer
    x = 123.46

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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.