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Finding the Fourth Proportional to 299.75, 413.52 and 212.47

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Solution

The fourth proportional to 299.75, 413.52 and 212.47 is: 293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 413.52 = 212.47 : x
  2. Step 2: Convert to fraction form
    299.75/413.52 = 212.47/x
  3. Step 3: Cross multiply
    299.75x = 413.52 × 212.47
  4. Step 4: Simplify right side
    299.75x = 87,859.53
  5. Step 5: Solve for x
    x = 87,859.53/299.75
  6. Step 6: Final answer
    x = 293.11

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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.