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Finding the Fourth Proportional to 299.19, 446.11 and 298.78

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Solution

The fourth proportional to 299.19, 446.11 and 298.78 is: 445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.19 : 446.11 = 298.78 : x
  2. Step 2: Convert to fraction form
    299.19/446.11 = 298.78/x
  3. Step 3: Cross multiply
    299.19x = 446.11 × 298.78
  4. Step 4: Simplify right side
    299.19x = 133,288.75
  5. Step 5: Solve for x
    x = 133,288.75/299.19
  6. Step 6: Final answer
    x = 445.50

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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.