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Finding the Fourth Proportional to 413.90, 621.45 and 252.26

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Solution

The fourth proportional to 413.90, 621.45 and 252.26 is: 378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.90 : 621.45 = 252.26 : x
  2. Step 2: Convert to fraction form
    413.90/621.45 = 252.26/x
  3. Step 3: Cross multiply
    413.90x = 621.45 × 252.26
  4. Step 4: Simplify right side
    413.90x = 156,766.98
  5. Step 5: Solve for x
    x = 156,766.98/413.90
  6. Step 6: Final answer
    x = 378.76

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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.