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Finding the Fourth Proportional to 299.20, 412.68 and 205.88

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Solution

The fourth proportional to 299.20, 412.68 and 205.88 is: 283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 412.68 = 205.88 : x
  2. Step 2: Convert to fraction form
    299.20/412.68 = 205.88/x
  3. Step 3: Cross multiply
    299.20x = 412.68 × 205.88
  4. Step 4: Simplify right side
    299.20x = 84,962.56
  5. Step 5: Solve for x
    x = 84,962.56/299.20
  6. Step 6: Final answer
    x = 283.97

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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.