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Finding the Fourth Proportional to 301.61, 449.97 and 255.44

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Solution

The fourth proportional to 301.61, 449.97 and 255.44 is: 381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.61 : 449.97 = 255.44 : x
  2. Step 2: Convert to fraction form
    301.61/449.97 = 255.44/x
  3. Step 3: Cross multiply
    301.61x = 449.97 × 255.44
  4. Step 4: Simplify right side
    301.61x = 114,938.09
  5. Step 5: Solve for x
    x = 114,938.09/301.61
  6. Step 6: Final answer
    x = 381.09

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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.