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Finding the Fourth Proportional to 413.09, 570.04 and 226.59

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Solution

The fourth proportional to 413.09, 570.04 and 226.59 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.09 : 570.04 = 226.59 : x
  2. Step 2: Convert to fraction form
    413.09/570.04 = 226.59/x
  3. Step 3: Cross multiply
    413.09x = 570.04 × 226.59
  4. Step 4: Simplify right side
    413.09x = 129,165.36
  5. Step 5: Solve for x
    x = 129,165.36/413.09
  6. Step 6: Final answer
    x = 312.68

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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.