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Finding the Fourth Proportional to 141.62, 196.52 and 136.50

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Solution

The fourth proportional to 141.62, 196.52 and 136.50 is: 189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.62 : 196.52 = 136.50 : x
  2. Step 2: Convert to fraction form
    141.62/196.52 = 136.50/x
  3. Step 3: Cross multiply
    141.62x = 196.52 × 136.50
  4. Step 4: Simplify right side
    141.62x = 26,824.98
  5. Step 5: Solve for x
    x = 26,824.98/141.62
  6. Step 6: Final answer
    x = 189.42

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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.