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Finding the Fourth Proportional to 413.39, 618.26 and 249.98

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Solution

The fourth proportional to 413.39, 618.26 and 249.98 is: 373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.39 : 618.26 = 249.98 : x
  2. Step 2: Convert to fraction form
    413.39/618.26 = 249.98/x
  3. Step 3: Cross multiply
    413.39x = 618.26 × 249.98
  4. Step 4: Simplify right side
    413.39x = 154,548.29
  5. Step 5: Solve for x
    x = 154,548.29/413.39
  6. Step 6: Final answer
    x = 373.86

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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.