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Finding the Fourth Proportional to 300.95, 449.86 and 293.66

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Solution

The fourth proportional to 300.95, 449.86 and 293.66 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.95 : 449.86 = 293.66 : x
  2. Step 2: Convert to fraction form
    300.95/449.86 = 293.66/x
  3. Step 3: Cross multiply
    300.95x = 449.86 × 293.66
  4. Step 4: Simplify right side
    300.95x = 132,105.89
  5. Step 5: Solve for x
    x = 132,105.89/300.95
  6. Step 6: Final answer
    x = 438.96

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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.