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Finding the Fourth Proportional to 279.82, 386.13 and 196.89

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Solution

The fourth proportional to 279.82, 386.13 and 196.89 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.82 : 386.13 = 196.89 : x
  2. Step 2: Convert to fraction form
    279.82/386.13 = 196.89/x
  3. Step 3: Cross multiply
    279.82x = 386.13 × 196.89
  4. Step 4: Simplify right side
    279.82x = 76,025.14
  5. Step 5: Solve for x
    x = 76,025.14/279.82
  6. Step 6: Final answer
    x = 271.69

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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.