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Finding the Fourth Proportional to 382.27, 568.50 and 370.12

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Solution

The fourth proportional to 382.27, 568.50 and 370.12 is: 550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.27 : 568.50 = 370.12 : x
  2. Step 2: Convert to fraction form
    382.27/568.50 = 370.12/x
  3. Step 3: Cross multiply
    382.27x = 568.50 × 370.12
  4. Step 4: Simplify right side
    382.27x = 210,413.22
  5. Step 5: Solve for x
    x = 210,413.22/382.27
  6. Step 6: Final answer
    x = 550.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.