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Finding the Fourth Proportional to 413.90, 571.20 and 227.40

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Solution

The fourth proportional to 413.90, 571.20 and 227.40 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.90 : 571.20 = 227.40 : x
  2. Step 2: Convert to fraction form
    413.90/571.20 = 227.40/x
  3. Step 3: Cross multiply
    413.90x = 571.20 × 227.40
  4. Step 4: Simplify right side
    413.90x = 129,888.21
  5. Step 5: Solve for x
    x = 129,888.21/413.90
  6. Step 6: Final answer
    x = 313.82

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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.