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Finding the Fourth Proportional to 142.36, 213.27 and 107.87

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Solution

The fourth proportional to 142.36, 213.27 and 107.87 is: 161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.36 : 213.27 = 107.87 : x
  2. Step 2: Convert to fraction form
    142.36/213.27 = 107.87/x
  3. Step 3: Cross multiply
    142.36x = 213.27 × 107.87
  4. Step 4: Simplify right side
    142.36x = 23,003.96
  5. Step 5: Solve for x
    x = 23,003.96/142.36
  6. Step 6: Final answer
    x = 161.59

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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.