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Finding the Fourth Proportional to 196.89, 272.96 and 185.95

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Solution

The fourth proportional to 196.89, 272.96 and 185.95 is: 257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.89 : 272.96 = 185.95 : x
  2. Step 2: Convert to fraction form
    196.89/272.96 = 185.95/x
  3. Step 3: Cross multiply
    196.89x = 272.96 × 185.95
  4. Step 4: Simplify right side
    196.89x = 50,756.91
  5. Step 5: Solve for x
    x = 50,756.91/196.89
  6. Step 6: Final answer
    x = 257.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.