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Finding the Fourth Proportional to 141.54, 196.15 and 139.58

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Solution

The fourth proportional to 141.54, 196.15 and 139.58 is: 193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.54 : 196.15 = 139.58 : x
  2. Step 2: Convert to fraction form
    141.54/196.15 = 139.58/x
  3. Step 3: Cross multiply
    141.54x = 196.15 × 139.58
  4. Step 4: Simplify right side
    141.54x = 27,378.62
  5. Step 5: Solve for x
    x = 27,378.62/141.54
  6. Step 6: Final answer
    x = 193.43

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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.