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Finding the Fourth Proportional to 142.09, 213.14 and 120.22

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Solution

The fourth proportional to 142.09, 213.14 and 120.22 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.09 : 213.14 = 120.22 : x
  2. Step 2: Convert to fraction form
    142.09/213.14 = 120.22/x
  3. Step 3: Cross multiply
    142.09x = 213.14 × 120.22
  4. Step 4: Simplify right side
    142.09x = 25,623.69
  5. Step 5: Solve for x
    x = 25,623.69/142.09
  6. Step 6: Final answer
    x = 180.33

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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.