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Finding the Fourth Proportional to 413.31, 618.34 and 297.97

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Solution

The fourth proportional to 413.31, 618.34 and 297.97 is: 445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.31 : 618.34 = 297.97 : x
  2. Step 2: Convert to fraction form
    413.31/618.34 = 297.97/x
  3. Step 3: Cross multiply
    413.31x = 618.34 × 297.97
  4. Step 4: Simplify right side
    413.31x = 184,246.02
  5. Step 5: Solve for x
    x = 184,246.02/413.31
  6. Step 6: Final answer
    x = 445.79

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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.