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Finding the Fourth Proportional to 300.78, 449.43 and 239.26

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Solution

The fourth proportional to 300.78, 449.43 and 239.26 is: 357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 449.43 = 239.26 : x
  2. Step 2: Convert to fraction form
    300.78/449.43 = 239.26/x
  3. Step 3: Cross multiply
    300.78x = 449.43 × 239.26
  4. Step 4: Simplify right side
    300.78x = 107,530.62
  5. Step 5: Solve for x
    x = 107,530.62/300.78
  6. Step 6: Final answer
    x = 357.51

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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.