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Finding the Fourth Proportional to 413.05, 618.21 and 344.71

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Solution

The fourth proportional to 413.05, 618.21 and 344.71 is: 515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.05 : 618.21 = 344.71 : x
  2. Step 2: Convert to fraction form
    413.05/618.21 = 344.71/x
  3. Step 3: Cross multiply
    413.05x = 618.21 × 344.71
  4. Step 4: Simplify right side
    413.05x = 213,103.17
  5. Step 5: Solve for x
    x = 213,103.17/413.05
  6. Step 6: Final answer
    x = 515.93

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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.