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Finding the Fourth Proportional to 299.07, 413.24 and 247.23

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Solution

The fourth proportional to 299.07, 413.24 and 247.23 is: 341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 413.24 = 247.23 : x
  2. Step 2: Convert to fraction form
    299.07/413.24 = 247.23/x
  3. Step 3: Cross multiply
    299.07x = 413.24 × 247.23
  4. Step 4: Simplify right side
    299.07x = 102,164.09
  5. Step 5: Solve for x
    x = 102,164.09/299.07
  6. Step 6: Final answer
    x = 341.61

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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.