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Finding the Fourth Proportional to 143.74, 199.43 and 142.33

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Solution

The fourth proportional to 143.74, 199.43 and 142.33 is: 197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.74 : 199.43 = 142.33 : x
  2. Step 2: Convert to fraction form
    143.74/199.43 = 142.33/x
  3. Step 3: Cross multiply
    143.74x = 199.43 × 142.33
  4. Step 4: Simplify right side
    143.74x = 28,384.87
  5. Step 5: Solve for x
    x = 28,384.87/143.74
  6. Step 6: Final answer
    x = 197.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.