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Finding the Fourth Proportional to 206.92, 309.95 and 108.07

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Solution

The fourth proportional to 206.92, 309.95 and 108.07 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 309.95 = 108.07 : x
  2. Step 2: Convert to fraction form
    206.92/309.95 = 108.07/x
  3. Step 3: Cross multiply
    206.92x = 309.95 × 108.07
  4. Step 4: Simplify right side
    206.92x = 33,496.30
  5. Step 5: Solve for x
    x = 33,496.30/206.92
  6. Step 6: Final answer
    x = 161.88

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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.