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Finding the Fourth Proportional to 197.01, 296.86 and 163.52

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Solution

The fourth proportional to 197.01, 296.86 and 163.52 is: 246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.01 : 296.86 = 163.52 : x
  2. Step 2: Convert to fraction form
    197.01/296.86 = 163.52/x
  3. Step 3: Cross multiply
    197.01x = 296.86 × 163.52
  4. Step 4: Simplify right side
    197.01x = 48,542.55
  5. Step 5: Solve for x
    x = 48,542.55/197.01
  6. Step 6: Final answer
    x = 246.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.