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Finding the Fourth Proportional to 141.93, 196.74 and 133.83

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Solution

The fourth proportional to 141.93, 196.74 and 133.83 is: 185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.93 : 196.74 = 133.83 : x
  2. Step 2: Convert to fraction form
    141.93/196.74 = 133.83/x
  3. Step 3: Cross multiply
    141.93x = 196.74 × 133.83
  4. Step 4: Simplify right side
    141.93x = 26,329.71
  5. Step 5: Solve for x
    x = 26,329.71/141.93
  6. Step 6: Final answer
    x = 185.51

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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.