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Finding the Fourth Proportional to 413.82, 571.05 and 282.86

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Solution

The fourth proportional to 413.82, 571.05 and 282.86 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 571.05 = 282.86 : x
  2. Step 2: Convert to fraction form
    413.82/571.05 = 282.86/x
  3. Step 3: Cross multiply
    413.82x = 571.05 × 282.86
  4. Step 4: Simplify right side
    413.82x = 161,527.20
  5. Step 5: Solve for x
    x = 161,527.20/413.82
  6. Step 6: Final answer
    x = 390.33

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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.