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Finding the Fourth Proportional to 143.78, 198.59 and 134.73

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Solution

The fourth proportional to 143.78, 198.59 and 134.73 is: 186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.78 : 198.59 = 134.73 : x
  2. Step 2: Convert to fraction form
    143.78/198.59 = 134.73/x
  3. Step 3: Cross multiply
    143.78x = 198.59 × 134.73
  4. Step 4: Simplify right side
    143.78x = 26,755.36
  5. Step 5: Solve for x
    x = 26,755.36/143.78
  6. Step 6: Final answer
    x = 186.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.