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Finding the Fourth Proportional to 413.93, 571.18 and 227.40

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Solution

The fourth proportional to 413.93, 571.18 and 227.40 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.93 : 571.18 = 227.40 : x
  2. Step 2: Convert to fraction form
    413.93/571.18 = 227.40/x
  3. Step 3: Cross multiply
    413.93x = 571.18 × 227.40
  4. Step 4: Simplify right side
    413.93x = 129,886.33
  5. Step 5: Solve for x
    x = 129,886.33/413.93
  6. Step 6: Final answer
    x = 313.79

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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.