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Finding the Fourth Proportional to 300.19, 447.60 and 299.78

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Solution

The fourth proportional to 300.19, 447.60 and 299.78 is: 446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.19 : 447.60 = 299.78 : x
  2. Step 2: Convert to fraction form
    300.19/447.60 = 299.78/x
  3. Step 3: Cross multiply
    300.19x = 447.60 × 299.78
  4. Step 4: Simplify right side
    300.19x = 134,181.53
  5. Step 5: Solve for x
    x = 134,181.53/300.19
  6. Step 6: Final answer
    x = 446.99

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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.