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Finding the Fourth Proportional to 299.89, 414.15 and 206.88

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Solution

The fourth proportional to 299.89, 414.15 and 206.88 is: 285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.89 : 414.15 = 206.88 : x
  2. Step 2: Convert to fraction form
    299.89/414.15 = 206.88/x
  3. Step 3: Cross multiply
    299.89x = 414.15 × 206.88
  4. Step 4: Simplify right side
    299.89x = 85,677.02
  5. Step 5: Solve for x
    x = 85,677.02/299.89
  6. Step 6: Final answer
    x = 285.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.