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Finding the Fourth Proportional to 300.35, 446.99 and 299.45

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Solution

The fourth proportional to 300.35, 446.99 and 299.45 is: 445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.35 : 446.99 = 299.45 : x
  2. Step 2: Convert to fraction form
    300.35/446.99 = 299.45/x
  3. Step 3: Cross multiply
    300.35x = 446.99 × 299.45
  4. Step 4: Simplify right side
    300.35x = 133,847.42
  5. Step 5: Solve for x
    x = 133,847.42/300.35
  6. Step 6: Final answer
    x = 445.65

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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.