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Finding the Fourth Proportional to 142.82, 213.98 and 121.22

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Solution

The fourth proportional to 142.82, 213.98 and 121.22 is: 181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 213.98 = 121.22 : x
  2. Step 2: Convert to fraction form
    142.82/213.98 = 121.22/x
  3. Step 3: Cross multiply
    142.82x = 213.98 × 121.22
  4. Step 4: Simplify right side
    142.82x = 25,938.66
  5. Step 5: Solve for x
    x = 25,938.66/142.82
  6. Step 6: Final answer
    x = 181.62

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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.