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Finding the Fourth Proportional to 206.65, 311.20 and 179.92

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Solution

The fourth proportional to 206.65, 311.20 and 179.92 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.65 : 311.20 = 179.92 : x
  2. Step 2: Convert to fraction form
    206.65/311.20 = 179.92/x
  3. Step 3: Cross multiply
    206.65x = 311.20 × 179.92
  4. Step 4: Simplify right side
    206.65x = 55,989.88
  5. Step 5: Solve for x
    x = 55,989.88/206.65
  6. Step 6: Final answer
    x = 270.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.