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Finding the Fourth Proportional to 196.69, 296.39 and 163.20

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Solution

The fourth proportional to 196.69, 296.39 and 163.20 is: 245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.69 : 296.39 = 163.20 : x
  2. Step 2: Convert to fraction form
    196.69/296.39 = 163.20/x
  3. Step 3: Cross multiply
    196.69x = 296.39 × 163.20
  4. Step 4: Simplify right side
    196.69x = 48,370.85
  5. Step 5: Solve for x
    x = 48,370.85/196.69
  6. Step 6: Final answer
    x = 245.92

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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.