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Finding the Fourth Proportional to 299.31, 413.42 and 212.37

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Solution

The fourth proportional to 299.31, 413.42 and 212.37 is: 293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.31 : 413.42 = 212.37 : x
  2. Step 2: Convert to fraction form
    299.31/413.42 = 212.37/x
  3. Step 3: Cross multiply
    299.31x = 413.42 × 212.37
  4. Step 4: Simplify right side
    299.31x = 87,796.94
  5. Step 5: Solve for x
    x = 87,796.94/299.31
  6. Step 6: Final answer
    x = 293.33

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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.