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Finding the Fourth Proportional to 299.21, 450.43 and 269.44

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Solution

The fourth proportional to 299.21, 450.43 and 269.44 is: 405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 450.43 = 269.44 : x
  2. Step 2: Convert to fraction form
    299.21/450.43 = 269.44/x
  3. Step 3: Cross multiply
    299.21x = 450.43 × 269.44
  4. Step 4: Simplify right side
    299.21x = 121,362.06
  5. Step 5: Solve for x
    x = 121,362.06/299.21
  6. Step 6: Final answer
    x = 405.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.