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Finding the Fourth Proportional to 382.86, 528.31 and 217.09

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Solution

The fourth proportional to 382.86, 528.31 and 217.09 is: 299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.86 : 528.31 = 217.09 : x
  2. Step 2: Convert to fraction form
    382.86/528.31 = 217.09/x
  3. Step 3: Cross multiply
    382.86x = 528.31 × 217.09
  4. Step 4: Simplify right side
    382.86x = 114,691.75
  5. Step 5: Solve for x
    x = 114,691.75/382.86
  6. Step 6: Final answer
    x = 299.57

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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.