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Finding the Fourth Proportional to 279.66, 386.17 and 196.95

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Solution

The fourth proportional to 279.66, 386.17 and 196.95 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.66 : 386.17 = 196.95 : x
  2. Step 2: Convert to fraction form
    279.66/386.17 = 196.95/x
  3. Step 3: Cross multiply
    279.66x = 386.17 × 196.95
  4. Step 4: Simplify right side
    279.66x = 76,055.69
  5. Step 5: Solve for x
    x = 76,055.69/279.66
  6. Step 6: Final answer
    x = 271.96

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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.