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Finding the Fourth Proportional to 300.12, 413.82 and 217.23

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Solution

The fourth proportional to 300.12, 413.82 and 217.23 is: 299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.12 : 413.82 = 217.23 : x
  2. Step 2: Convert to fraction form
    300.12/413.82 = 217.23/x
  3. Step 3: Cross multiply
    300.12x = 413.82 × 217.23
  4. Step 4: Simplify right side
    300.12x = 89,894.12
  5. Step 5: Solve for x
    x = 89,894.12/300.12
  6. Step 6: Final answer
    x = 299.53

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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.