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Finding the Fourth Proportional to 413.97, 621.20 and 154.16

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Solution

The fourth proportional to 413.97, 621.20 and 154.16 is: 231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 621.20 = 154.16 : x
  2. Step 2: Convert to fraction form
    413.97/621.20 = 154.16/x
  3. Step 3: Cross multiply
    413.97x = 621.20 × 154.16
  4. Step 4: Simplify right side
    413.97x = 95,764.19
  5. Step 5: Solve for x
    x = 95,764.19/413.97
  6. Step 6: Final answer
    x = 231.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.