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Finding the Fourth Proportional to 196.88, 271.70 and 131.42

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Solution

The fourth proportional to 196.88, 271.70 and 131.42 is: 181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 271.70 = 131.42 : x
  2. Step 2: Convert to fraction form
    196.88/271.70 = 131.42/x
  3. Step 3: Cross multiply
    196.88x = 271.70 × 131.42
  4. Step 4: Simplify right side
    196.88x = 35,708.07
  5. Step 5: Solve for x
    x = 35,708.07/196.88
  6. Step 6: Final answer
    x = 181.37

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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.