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Finding the Fourth Proportional to 299.61, 413.71 and 284.33

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Solution

The fourth proportional to 299.61, 413.71 and 284.33 is: 392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 413.71 = 284.33 : x
  2. Step 2: Convert to fraction form
    299.61/413.71 = 284.33/x
  3. Step 3: Cross multiply
    299.61x = 413.71 × 284.33
  4. Step 4: Simplify right side
    299.61x = 117,628.98
  5. Step 5: Solve for x
    x = 117,628.98/299.61
  6. Step 6: Final answer
    x = 392.60

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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.