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Finding the Fourth Proportional to 299.82, 414.41 and 264.60

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Solution

The fourth proportional to 299.82, 414.41 and 264.60 is: 365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 414.41 = 264.60 : x
  2. Step 2: Convert to fraction form
    299.82/414.41 = 264.60/x
  3. Step 3: Cross multiply
    299.82x = 414.41 × 264.60
  4. Step 4: Simplify right side
    299.82x = 109,651.56
  5. Step 5: Solve for x
    x = 109,651.56/299.82
  6. Step 6: Final answer
    x = 365.72

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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.