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Finding the Fourth Proportional to 413.17, 570.16 and 226.66

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Solution

The fourth proportional to 413.17, 570.16 and 226.66 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.17 : 570.16 = 226.66 : x
  2. Step 2: Convert to fraction form
    413.17/570.16 = 226.66/x
  3. Step 3: Cross multiply
    413.17x = 570.16 × 226.66
  4. Step 4: Simplify right side
    413.17x = 129,229.54
  5. Step 5: Solve for x
    x = 129,229.54/413.17
  6. Step 6: Final answer
    x = 312.78

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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.