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Finding the Fourth Proportional to 142.57, 213.96 and 141.43

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Solution

The fourth proportional to 142.57, 213.96 and 141.43 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.57 : 213.96 = 141.43 : x
  2. Step 2: Convert to fraction form
    142.57/213.96 = 141.43/x
  3. Step 3: Cross multiply
    142.57x = 213.96 × 141.43
  4. Step 4: Simplify right side
    142.57x = 30,260.36
  5. Step 5: Solve for x
    x = 30,260.36/142.57
  6. Step 6: Final answer
    x = 212.25

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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.