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Finding the Fourth Proportional to 299.14, 446.66 and 268.09

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Solution

The fourth proportional to 299.14, 446.66 and 268.09 is: 400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.14 : 446.66 = 268.09 : x
  2. Step 2: Convert to fraction form
    299.14/446.66 = 268.09/x
  3. Step 3: Cross multiply
    299.14x = 446.66 × 268.09
  4. Step 4: Simplify right side
    299.14x = 119,745.08
  5. Step 5: Solve for x
    x = 119,745.08/299.14
  6. Step 6: Final answer
    x = 400.30

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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.