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Finding the Fourth Proportional to 382.27, 527.38 and 299.38

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Solution

The fourth proportional to 382.27, 527.38 and 299.38 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.27 : 527.38 = 299.38 : x
  2. Step 2: Convert to fraction form
    382.27/527.38 = 299.38/x
  3. Step 3: Cross multiply
    382.27x = 527.38 × 299.38
  4. Step 4: Simplify right side
    382.27x = 157,887.02
  5. Step 5: Solve for x
    x = 157,887.02/382.27
  6. Step 6: Final answer
    x = 413.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.