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Finding the Fourth Proportional to 300.12, 413.61 and 294.81

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Solution

The fourth proportional to 300.12, 413.61 and 294.81 is: 406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.12 : 413.61 = 294.81 : x
  2. Step 2: Convert to fraction form
    300.12/413.61 = 294.81/x
  3. Step 3: Cross multiply
    300.12x = 413.61 × 294.81
  4. Step 4: Simplify right side
    300.12x = 121,936.36
  5. Step 5: Solve for x
    x = 121,936.36/300.12
  6. Step 6: Final answer
    x = 406.29

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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.