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Finding the Fourth Proportional to 196.41, 271.03 and 107.89

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Solution

The fourth proportional to 196.41, 271.03 and 107.89 is: 148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.41 : 271.03 = 107.89 : x
  2. Step 2: Convert to fraction form
    196.41/271.03 = 107.89/x
  3. Step 3: Cross multiply
    196.41x = 271.03 × 107.89
  4. Step 4: Simplify right side
    196.41x = 29,241.43
  5. Step 5: Solve for x
    x = 29,241.43/196.41
  6. Step 6: Final answer
    x = 148.88

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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.