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Finding the Fourth Proportional to 299.85, 446.24 and 298.95

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Solution

The fourth proportional to 299.85, 446.24 and 298.95 is: 444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.85 : 446.24 = 298.95 : x
  2. Step 2: Convert to fraction form
    299.85/446.24 = 298.95/x
  3. Step 3: Cross multiply
    299.85x = 446.24 × 298.95
  4. Step 4: Simplify right side
    299.85x = 133,403.45
  5. Step 5: Solve for x
    x = 133,403.45/299.85
  6. Step 6: Final answer
    x = 444.90

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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.