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Finding the Fourth Proportional to 299.33, 413.33 and 284.04

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Solution

The fourth proportional to 299.33, 413.33 and 284.04 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.33 : 413.33 = 284.04 : x
  2. Step 2: Convert to fraction form
    299.33/413.33 = 284.04/x
  3. Step 3: Cross multiply
    299.33x = 413.33 × 284.04
  4. Step 4: Simplify right side
    299.33x = 117,402.38
  5. Step 5: Solve for x
    x = 117,402.38/299.33
  6. Step 6: Final answer
    x = 392.21

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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.