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Finding the Fourth Proportional to 300.11, 413.73 and 217.07

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Solution

The fourth proportional to 300.11, 413.73 and 217.07 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.11 : 413.73 = 217.07 : x
  2. Step 2: Convert to fraction form
    300.11/413.73 = 217.07/x
  3. Step 3: Cross multiply
    300.11x = 413.73 × 217.07
  4. Step 4: Simplify right side
    300.11x = 89,806.30
  5. Step 5: Solve for x
    x = 89,806.30/300.11
  6. Step 6: Final answer
    x = 299.25

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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.