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Finding the Fourth Proportional to 196.74, 272.16 and 163.89

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Solution

The fourth proportional to 196.74, 272.16 and 163.89 is: 226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 272.16 = 163.89 : x
  2. Step 2: Convert to fraction form
    196.74/272.16 = 163.89/x
  3. Step 3: Cross multiply
    196.74x = 272.16 × 163.89
  4. Step 4: Simplify right side
    196.74x = 44,604.30
  5. Step 5: Solve for x
    x = 44,604.30/196.74
  6. Step 6: Final answer
    x = 226.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.