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Finding the Fourth Proportional to 413.99, 571.31 and 227.49

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Solution

The fourth proportional to 413.99, 571.31 and 227.49 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.99 : 571.31 = 227.49 : x
  2. Step 2: Convert to fraction form
    413.99/571.31 = 227.49/x
  3. Step 3: Cross multiply
    413.99x = 571.31 × 227.49
  4. Step 4: Simplify right side
    413.99x = 129,964.89
  5. Step 5: Solve for x
    x = 129,964.89/413.99
  6. Step 6: Final answer
    x = 313.93

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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.