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Finding the Fourth Proportional to 143.20, 213.29 and 142.54

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Solution

The fourth proportional to 143.20, 213.29 and 142.54 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.20 : 213.29 = 142.54 : x
  2. Step 2: Convert to fraction form
    143.20/213.29 = 142.54/x
  3. Step 3: Cross multiply
    143.20x = 213.29 × 142.54
  4. Step 4: Simplify right side
    143.20x = 30,402.36
  5. Step 5: Solve for x
    x = 30,402.36/143.20
  6. Step 6: Final answer
    x = 212.31

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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.