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Finding the Fourth Proportional to 447.26, 616.82 and 299.94

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Solution

The fourth proportional to 447.26, 616.82 and 299.94 is: 413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.26 : 616.82 = 299.94 : x
  2. Step 2: Convert to fraction form
    447.26/616.82 = 299.94/x
  3. Step 3: Cross multiply
    447.26x = 616.82 × 299.94
  4. Step 4: Simplify right side
    447.26x = 185,008.99
  5. Step 5: Solve for x
    x = 185,008.99/447.26
  6. Step 6: Final answer
    x = 413.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.