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Finding the Fourth Proportional to 196.20, 269.46 and 163.40

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Solution

The fourth proportional to 196.20, 269.46 and 163.40 is: 224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 269.46 = 163.40 : x
  2. Step 2: Convert to fraction form
    196.20/269.46 = 163.40/x
  3. Step 3: Cross multiply
    196.20x = 269.46 × 163.40
  4. Step 4: Simplify right side
    196.20x = 44,028.42
  5. Step 5: Solve for x
    x = 44,028.42/196.20
  6. Step 6: Final answer
    x = 224.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.