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Finding the Fourth Proportional to 197.52, 295.92 and 163.20

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Solution

The fourth proportional to 197.52, 295.92 and 163.20 is: 244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 295.92 = 163.20 : x
  2. Step 2: Convert to fraction form
    197.52/295.92 = 163.20/x
  3. Step 3: Cross multiply
    197.52x = 295.92 × 163.20
  4. Step 4: Simplify right side
    197.52x = 48,294.14
  5. Step 5: Solve for x
    x = 48,294.14/197.52
  6. Step 6: Final answer
    x = 244.50

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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.