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Finding the Fourth Proportional to 413.37, 620.01 and 252.05

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Solution

The fourth proportional to 413.37, 620.01 and 252.05 is: 378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.37 : 620.01 = 252.05 : x
  2. Step 2: Convert to fraction form
    413.37/620.01 = 252.05/x
  3. Step 3: Cross multiply
    413.37x = 620.01 × 252.05
  4. Step 4: Simplify right side
    413.37x = 156,270.42
  5. Step 5: Solve for x
    x = 156,270.42/413.37
  6. Step 6: Final answer
    x = 378.04

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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.