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Finding the Fourth Proportional to 186.82, 279.85 and 138.22

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Solution

The fourth proportional to 186.82, 279.85 and 138.22 is: 207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 279.85 = 138.22 : x
  2. Step 2: Convert to fraction form
    186.82/279.85 = 138.22/x
  3. Step 3: Cross multiply
    186.82x = 279.85 × 138.22
  4. Step 4: Simplify right side
    186.82x = 38,679.47
  5. Step 5: Solve for x
    x = 38,679.47/186.82
  6. Step 6: Final answer
    x = 207.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.