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Finding the Fourth Proportional to 299.09, 412.79 and 205.85

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Solution

The fourth proportional to 299.09, 412.79 and 205.85 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 412.79 = 205.85 : x
  2. Step 2: Convert to fraction form
    299.09/412.79 = 205.85/x
  3. Step 3: Cross multiply
    299.09x = 412.79 × 205.85
  4. Step 4: Simplify right side
    299.09x = 84,969.73
  5. Step 5: Solve for x
    x = 84,969.73/299.09
  6. Step 6: Final answer
    x = 284.10

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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.