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Finding the Fourth Proportional to 413.92, 617.27 and 367.30

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Solution

The fourth proportional to 413.92, 617.27 and 367.30 is: 547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.92 : 617.27 = 367.30 : x
  2. Step 2: Convert to fraction form
    413.92/617.27 = 367.30/x
  3. Step 3: Cross multiply
    413.92x = 617.27 × 367.30
  4. Step 4: Simplify right side
    413.92x = 226,723.27
  5. Step 5: Solve for x
    x = 226,723.27/413.92
  6. Step 6: Final answer
    x = 547.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.