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Finding the Fourth Proportional to 142.35, 213.68 and 96.22

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Solution

The fourth proportional to 142.35, 213.68 and 96.22 is: 144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.35 : 213.68 = 96.22 : x
  2. Step 2: Convert to fraction form
    142.35/213.68 = 96.22/x
  3. Step 3: Cross multiply
    142.35x = 213.68 × 96.22
  4. Step 4: Simplify right side
    142.35x = 20,560.29
  5. Step 5: Solve for x
    x = 20,560.29/142.35
  6. Step 6: Final answer
    x = 144.43

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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.