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Finding the Fourth Proportional to 141.84, 194.61 and 138.27

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Solution

The fourth proportional to 141.84, 194.61 and 138.27 is: 189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 194.61 = 138.27 : x
  2. Step 2: Convert to fraction form
    141.84/194.61 = 138.27/x
  3. Step 3: Cross multiply
    141.84x = 194.61 × 138.27
  4. Step 4: Simplify right side
    141.84x = 26,908.72
  5. Step 5: Solve for x
    x = 26,908.72/141.84
  6. Step 6: Final answer
    x = 189.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.