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Finding the Fourth Proportional to 196.62, 271.29 and 131.20

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Solution

The fourth proportional to 196.62, 271.29 and 131.20 is: 181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 271.29 = 131.20 : x
  2. Step 2: Convert to fraction form
    196.62/271.29 = 131.20/x
  3. Step 3: Cross multiply
    196.62x = 271.29 × 131.20
  4. Step 4: Simplify right side
    196.62x = 35,593.25
  5. Step 5: Solve for x
    x = 35,593.25/196.62
  6. Step 6: Final answer
    x = 181.03

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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.