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Finding the Fourth Proportional to 275.21, 413.01 and 221.75

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Solution

The fourth proportional to 275.21, 413.01 and 221.75 is: 332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.21 : 413.01 = 221.75 : x
  2. Step 2: Convert to fraction form
    275.21/413.01 = 221.75/x
  3. Step 3: Cross multiply
    275.21x = 413.01 × 221.75
  4. Step 4: Simplify right side
    275.21x = 91,582.35
  5. Step 5: Solve for x
    x = 91,582.35/275.21
  6. Step 6: Final answer
    x = 332.78

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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.