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Finding the Fourth Proportional to 300.39, 413.92 and 230.46

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Solution

The fourth proportional to 300.39, 413.92 and 230.46 is: 317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.39 : 413.92 = 230.46 : x
  2. Step 2: Convert to fraction form
    300.39/413.92 = 230.46/x
  3. Step 3: Cross multiply
    300.39x = 413.92 × 230.46
  4. Step 4: Simplify right side
    300.39x = 95,392.00
  5. Step 5: Solve for x
    x = 95,392.00/300.39
  6. Step 6: Final answer
    x = 317.56

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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.