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Finding the Fourth Proportional to 299.16, 412.94 and 206.38

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Solution

The fourth proportional to 299.16, 412.94 and 206.38 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 412.94 = 206.38 : x
  2. Step 2: Convert to fraction form
    299.16/412.94 = 206.38/x
  3. Step 3: Cross multiply
    299.16x = 412.94 × 206.38
  4. Step 4: Simplify right side
    299.16x = 85,222.56
  5. Step 5: Solve for x
    x = 85,222.56/299.16
  6. Step 6: Final answer
    x = 284.87

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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.