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Finding the Fourth Proportional to 301.22, 449.44 and 280.28

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Solution

The fourth proportional to 301.22, 449.44 and 280.28 is: 418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.22 : 449.44 = 280.28 : x
  2. Step 2: Convert to fraction form
    301.22/449.44 = 280.28/x
  3. Step 3: Cross multiply
    301.22x = 449.44 × 280.28
  4. Step 4: Simplify right side
    301.22x = 125,969.04
  5. Step 5: Solve for x
    x = 125,969.04/301.22
  6. Step 6: Final answer
    x = 418.20

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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.