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Finding the Fourth Proportional to 382.97, 528.41 and 217.12

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Solution

The fourth proportional to 382.97, 528.41 and 217.12 is: 299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.97 : 528.41 = 217.12 : x
  2. Step 2: Convert to fraction form
    382.97/528.41 = 217.12/x
  3. Step 3: Cross multiply
    382.97x = 528.41 × 217.12
  4. Step 4: Simplify right side
    382.97x = 114,726.79
  5. Step 5: Solve for x
    x = 114,726.79/382.97
  6. Step 6: Final answer
    x = 299.58

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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.