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Finding the Fourth Proportional to 300.10, 413.76 and 222.34

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Solution

The fourth proportional to 300.10, 413.76 and 222.34 is: 306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 413.76 = 222.34 : x
  2. Step 2: Convert to fraction form
    300.10/413.76 = 222.34/x
  3. Step 3: Cross multiply
    300.10x = 413.76 × 222.34
  4. Step 4: Simplify right side
    300.10x = 91,995.40
  5. Step 5: Solve for x
    x = 91,995.40/300.10
  6. Step 6: Final answer
    x = 306.55

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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.