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Finding the Fourth Proportional to 299.08, 450.25 and 269.31

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Solution

The fourth proportional to 299.08, 450.25 and 269.31 is: 405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.08 : 450.25 = 269.31 : x
  2. Step 2: Convert to fraction form
    299.08/450.25 = 269.31/x
  3. Step 3: Cross multiply
    299.08x = 450.25 × 269.31
  4. Step 4: Simplify right side
    299.08x = 121,257.95
  5. Step 5: Solve for x
    x = 121,257.95/299.08
  6. Step 6: Final answer
    x = 405.44

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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.