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Finding the Fourth Proportional to 247.89, 369.78 and 206.85

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Solution

The fourth proportional to 247.89, 369.78 and 206.85 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.89 : 369.78 = 206.85 : x
  2. Step 2: Convert to fraction form
    247.89/369.78 = 206.85/x
  3. Step 3: Cross multiply
    247.89x = 369.78 × 206.85
  4. Step 4: Simplify right side
    247.89x = 76,488.99
  5. Step 5: Solve for x
    x = 76,488.99/247.89
  6. Step 6: Final answer
    x = 308.56

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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.