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Finding the Fourth Proportional to 413.24, 570.24 and 226.69

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Solution

The fourth proportional to 413.24, 570.24 and 226.69 is: 312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.24 : 570.24 = 226.69 : x
  2. Step 2: Convert to fraction form
    413.24/570.24 = 226.69/x
  3. Step 3: Cross multiply
    413.24x = 570.24 × 226.69
  4. Step 4: Simplify right side
    413.24x = 129,266.28
  5. Step 5: Solve for x
    x = 129,266.28/413.24
  6. Step 6: Final answer
    x = 312.82

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Find fourth proportional to 206.62, 285.12 and 113.34
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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.