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Finding the Fourth Proportional to 282.20, 389.94 and 217.27

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Solution

The fourth proportional to 282.20, 389.94 and 217.27 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.20 : 389.94 = 217.27 : x
  2. Step 2: Convert to fraction form
    282.20/389.94 = 217.27/x
  3. Step 3: Cross multiply
    282.20x = 389.94 × 217.27
  4. Step 4: Simplify right side
    282.20x = 84,721.29
  5. Step 5: Solve for x
    x = 84,721.29/282.20
  6. Step 6: Final answer
    x = 300.21

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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.