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Finding the Fourth Proportional to 196.90, 271.34 and 161.76

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Solution

The fourth proportional to 196.90, 271.34 and 161.76 is: 222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 271.34 = 161.76 : x
  2. Step 2: Convert to fraction form
    196.90/271.34 = 161.76/x
  3. Step 3: Cross multiply
    196.90x = 271.34 × 161.76
  4. Step 4: Simplify right side
    196.90x = 43,891.96
  5. Step 5: Solve for x
    x = 43,891.96/196.90
  6. Step 6: Final answer
    x = 222.91

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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.