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Finding the Fourth Proportional to 301.37, 449.41 and 298.63

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Solution

The fourth proportional to 301.37, 449.41 and 298.63 is: 445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.37 : 449.41 = 298.63 : x
  2. Step 2: Convert to fraction form
    301.37/449.41 = 298.63/x
  3. Step 3: Cross multiply
    301.37x = 449.41 × 298.63
  4. Step 4: Simplify right side
    301.37x = 134,205.44
  5. Step 5: Solve for x
    x = 134,205.44/301.37
  6. Step 6: Final answer
    x = 445.33

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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.