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Finding the Fourth Proportional to 413.41, 618.62 and 356.31

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Solution

The fourth proportional to 413.41, 618.62 and 356.31 is: 533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.41 : 618.62 = 356.31 : x
  2. Step 2: Convert to fraction form
    413.41/618.62 = 356.31/x
  3. Step 3: Cross multiply
    413.41x = 618.62 × 356.31
  4. Step 4: Simplify right side
    413.41x = 220,420.49
  5. Step 5: Solve for x
    x = 220,420.49/413.41
  6. Step 6: Final answer
    x = 533.18

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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.