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Finding the Fourth Proportional to 196.76, 269.86 and 191.88

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Solution

The fourth proportional to 196.76, 269.86 and 191.88 is: 263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.76 : 269.86 = 191.88 : x
  2. Step 2: Convert to fraction form
    196.76/269.86 = 191.88/x
  3. Step 3: Cross multiply
    196.76x = 269.86 × 191.88
  4. Step 4: Simplify right side
    196.76x = 51,780.74
  5. Step 5: Solve for x
    x = 51,780.74/196.76
  6. Step 6: Final answer
    x = 263.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.