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Finding the Fourth Proportional to 197.72, 296.49 and 76.00

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Solution

The fourth proportional to 197.72, 296.49 and 76.00 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.49 = 76.00 : x
  2. Step 2: Convert to fraction form
    197.72/296.49 = 76.00/x
  3. Step 3: Cross multiply
    197.72x = 296.49 × 76.00
  4. Step 4: Simplify right side
    197.72x = 22,531.38
  5. Step 5: Solve for x
    x = 22,531.38/197.72
  6. Step 6: Final answer
    x = 113.96

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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.