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Finding the Fourth Proportional to 413.28, 622.13 and 292.38

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Solution

The fourth proportional to 413.28, 622.13 and 292.38 is: 440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 622.13 = 292.38 : x
  2. Step 2: Convert to fraction form
    413.28/622.13 = 292.38/x
  3. Step 3: Cross multiply
    413.28x = 622.13 × 292.38
  4. Step 4: Simplify right side
    413.28x = 181,896.91
  5. Step 5: Solve for x
    x = 181,896.91/413.28
  6. Step 6: Final answer
    x = 440.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.