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Finding the Fourth Proportional to 413.94, 569.94 and 351.68

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Solution

The fourth proportional to 413.94, 569.94 and 351.68 is: 484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 569.94 = 351.68 : x
  2. Step 2: Convert to fraction form
    413.94/569.94 = 351.68/x
  3. Step 3: Cross multiply
    413.94x = 569.94 × 351.68
  4. Step 4: Simplify right side
    413.94x = 200,432.33
  5. Step 5: Solve for x
    x = 200,432.33/413.94
  6. Step 6: Final answer
    x = 484.20

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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.