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Finding the Fourth Proportional to 275.20, 413.06 and 221.08

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Solution

The fourth proportional to 275.20, 413.06 and 221.08 is: 331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 413.06 = 221.08 : x
  2. Step 2: Convert to fraction form
    275.20/413.06 = 221.08/x
  3. Step 3: Cross multiply
    275.20x = 413.06 × 221.08
  4. Step 4: Simplify right side
    275.20x = 91,319.30
  5. Step 5: Solve for x
    x = 91,319.30/275.20
  6. Step 6: Final answer
    x = 331.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.