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Finding the Fourth Proportional to 301.85, 449.22 and 300.95

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Solution

The fourth proportional to 301.85, 449.22 and 300.95 is: 447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.85 : 449.22 = 300.95 : x
  2. Step 2: Convert to fraction form
    301.85/449.22 = 300.95/x
  3. Step 3: Cross multiply
    301.85x = 449.22 × 300.95
  4. Step 4: Simplify right side
    301.85x = 135,190.51
  5. Step 5: Solve for x
    x = 135,190.51/301.85
  6. Step 6: Final answer
    x = 447.88

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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.