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Finding the Fourth Proportional to 206.59, 311.11 and 179.86

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Solution

The fourth proportional to 206.59, 311.11 and 179.86 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.59 : 311.11 = 179.86 : x
  2. Step 2: Convert to fraction form
    206.59/311.11 = 179.86/x
  3. Step 3: Cross multiply
    206.59x = 311.11 × 179.86
  4. Step 4: Simplify right side
    206.59x = 55,953.79
  5. Step 5: Solve for x
    x = 55,953.79/206.59
  6. Step 6: Final answer
    x = 270.85

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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.