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Finding the Fourth Proportional to 318.26, 475.12 and 299.90

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Solution

The fourth proportional to 318.26, 475.12 and 299.90 is: 447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.26 : 475.12 = 299.90 : x
  2. Step 2: Convert to fraction form
    318.26/475.12 = 299.90/x
  3. Step 3: Cross multiply
    318.26x = 475.12 × 299.90
  4. Step 4: Simplify right side
    318.26x = 142,488.49
  5. Step 5: Solve for x
    x = 142,488.49/318.26
  6. Step 6: Final answer
    x = 447.71

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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.