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Finding the Fourth Proportional to 197.91, 297 and 163.89

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Solution

The fourth proportional to 197.91, 297 and 163.89 is: 245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.91 : 297 = 163.89 : x
  2. Step 2: Convert to fraction form
    197.91/297 = 163.89/x
  3. Step 3: Cross multiply
    197.91x = 297 × 163.89
  4. Step 4: Simplify right side
    197.91x = 48,675.33
  5. Step 5: Solve for x
    x = 48,675.33/197.91
  6. Step 6: Final answer
    x = 245.95

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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.