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Finding the Fourth Proportional to 282.21, 422.16 and 213.22

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Solution

The fourth proportional to 282.21, 422.16 and 213.22 is: 318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 422.16 = 213.22 : x
  2. Step 2: Convert to fraction form
    282.21/422.16 = 213.22/x
  3. Step 3: Cross multiply
    282.21x = 422.16 × 213.22
  4. Step 4: Simplify right side
    282.21x = 90,012.96
  5. Step 5: Solve for x
    x = 90,012.96/282.21
  6. Step 6: Final answer
    x = 318.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.