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Finding the Fourth Proportional to 206.09, 309.33 and 108.67

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Solution

The fourth proportional to 206.09, 309.33 and 108.67 is: 163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.09 : 309.33 = 108.67 : x
  2. Step 2: Convert to fraction form
    206.09/309.33 = 108.67/x
  3. Step 3: Cross multiply
    206.09x = 309.33 × 108.67
  4. Step 4: Simplify right side
    206.09x = 33,613.98
  5. Step 5: Solve for x
    x = 33,613.98/206.09
  6. Step 6: Final answer
    x = 163.10

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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.