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Finding the Fourth Proportional to 301.41, 449.19 and 294.12

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Solution

The fourth proportional to 301.41, 449.19 and 294.12 is: 438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.41 : 449.19 = 294.12 : x
  2. Step 2: Convert to fraction form
    301.41/449.19 = 294.12/x
  3. Step 3: Cross multiply
    301.41x = 449.19 × 294.12
  4. Step 4: Simplify right side
    301.41x = 132,115.76
  5. Step 5: Solve for x
    x = 132,115.76/301.41
  6. Step 6: Final answer
    x = 438.33

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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.