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Finding the Fourth Proportional to 206.92, 309.11 and 193.24

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Solution

The fourth proportional to 206.92, 309.11 and 193.24 is: 288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 309.11 = 193.24 : x
  2. Step 2: Convert to fraction form
    206.92/309.11 = 193.24/x
  3. Step 3: Cross multiply
    206.92x = 309.11 × 193.24
  4. Step 4: Simplify right side
    206.92x = 59,732.42
  5. Step 5: Solve for x
    x = 59,732.42/206.92
  6. Step 6: Final answer
    x = 288.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.