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Finding the Fourth Proportional to 299.69, 413.77 and 212.21

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Solution

The fourth proportional to 299.69, 413.77 and 212.21 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.69 : 413.77 = 212.21 : x
  2. Step 2: Convert to fraction form
    299.69/413.77 = 212.21/x
  3. Step 3: Cross multiply
    299.69x = 413.77 × 212.21
  4. Step 4: Simplify right side
    299.69x = 87,806.13
  5. Step 5: Solve for x
    x = 87,806.13/299.69
  6. Step 6: Final answer
    x = 292.99

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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.