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Finding the Fourth Proportional to 413.95, 571.27 and 227.45

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Solution

The fourth proportional to 413.95, 571.27 and 227.45 is: 313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.95 : 571.27 = 227.45 : x
  2. Step 2: Convert to fraction form
    413.95/571.27 = 227.45/x
  3. Step 3: Cross multiply
    413.95x = 571.27 × 227.45
  4. Step 4: Simplify right side
    413.95x = 129,932.65
  5. Step 5: Solve for x
    x = 129,932.65/413.95
  6. Step 6: Final answer
    x = 313.88

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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.