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Finding the Fourth Proportional to 281.80, 422.02 and 213.22

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Solution

The fourth proportional to 281.80, 422.02 and 213.22 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 422.02 = 213.22 : x
  2. Step 2: Convert to fraction form
    281.80/422.02 = 213.22/x
  3. Step 3: Cross multiply
    281.80x = 422.02 × 213.22
  4. Step 4: Simplify right side
    281.80x = 89,983.10
  5. Step 5: Solve for x
    x = 89,983.10/281.80
  6. Step 6: Final answer
    x = 319.32

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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.