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Finding the Fourth Proportional to 300.02, 413.90 and 221.52

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Solution

The fourth proportional to 300.02, 413.90 and 221.52 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.02 : 413.90 = 221.52 : x
  2. Step 2: Convert to fraction form
    300.02/413.90 = 221.52/x
  3. Step 3: Cross multiply
    300.02x = 413.90 × 221.52
  4. Step 4: Simplify right side
    300.02x = 91,687.68
  5. Step 5: Solve for x
    x = 91,687.68/300.02
  6. Step 6: Final answer
    x = 305.61

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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.