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Finding the Fourth Proportional to 301.08, 449.02 and 294.98

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Solution

The fourth proportional to 301.08, 449.02 and 294.98 is: 439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 449.02 = 294.98 : x
  2. Step 2: Convert to fraction form
    301.08/449.02 = 294.98/x
  3. Step 3: Cross multiply
    301.08x = 449.02 × 294.98
  4. Step 4: Simplify right side
    301.08x = 132,451.92
  5. Step 5: Solve for x
    x = 132,451.92/301.08
  6. Step 6: Final answer
    x = 439.92

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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.