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Finding the Fourth Proportional to 143.56, 213.96 and 142.37

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Solution

The fourth proportional to 143.56, 213.96 and 142.37 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.56 : 213.96 = 142.37 : x
  2. Step 2: Convert to fraction form
    143.56/213.96 = 142.37/x
  3. Step 3: Cross multiply
    143.56x = 213.96 × 142.37
  4. Step 4: Simplify right side
    143.56x = 30,461.49
  5. Step 5: Solve for x
    x = 30,461.49/143.56
  6. Step 6: Final answer
    x = 212.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.