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Finding the Fourth Proportional to 413.87, 571.11 and 239.21

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Solution

The fourth proportional to 413.87, 571.11 and 239.21 is: 330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.87 : 571.11 = 239.21 : x
  2. Step 2: Convert to fraction form
    413.87/571.11 = 239.21/x
  3. Step 3: Cross multiply
    413.87x = 571.11 × 239.21
  4. Step 4: Simplify right side
    413.87x = 136,615.22
  5. Step 5: Solve for x
    x = 136,615.22/413.87
  6. Step 6: Final answer
    x = 330.09

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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.