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Finding the Fourth Proportional to 334.43, 499.96 and 299.65

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Solution

The fourth proportional to 334.43, 499.96 and 299.65 is: 447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.43 : 499.96 = 299.65 : x
  2. Step 2: Convert to fraction form
    334.43/499.96 = 299.65/x
  3. Step 3: Cross multiply
    334.43x = 499.96 × 299.65
  4. Step 4: Simplify right side
    334.43x = 149,813.01
  5. Step 5: Solve for x
    x = 149,813.01/334.43
  6. Step 6: Final answer
    x = 447.97

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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.