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Finding the Fourth Proportional to 298.89, 445.91 and 270.95

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Solution

The fourth proportional to 298.89, 445.91 and 270.95 is: 404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.89 : 445.91 = 270.95 : x
  2. Step 2: Convert to fraction form
    298.89/445.91 = 270.95/x
  3. Step 3: Cross multiply
    298.89x = 445.91 × 270.95
  4. Step 4: Simplify right side
    298.89x = 120,815.73
  5. Step 5: Solve for x
    x = 120,815.73/298.89
  6. Step 6: Final answer
    x = 404.21

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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.