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Finding the Fourth Proportional to 300.27, 413.39 and 284.88

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Solution

The fourth proportional to 300.27, 413.39 and 284.88 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.27 : 413.39 = 284.88 : x
  2. Step 2: Convert to fraction form
    300.27/413.39 = 284.88/x
  3. Step 3: Cross multiply
    300.27x = 413.39 × 284.88
  4. Step 4: Simplify right side
    300.27x = 117,765.12
  5. Step 5: Solve for x
    x = 117,765.12/300.27
  6. Step 6: Final answer
    x = 392.20

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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.