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Finding the Fourth Proportional to 133.91, 199.73 and 129.86

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Solution

The fourth proportional to 133.91, 199.73 and 129.86 is: 193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.91 : 199.73 = 129.86 : x
  2. Step 2: Convert to fraction form
    133.91/199.73 = 129.86/x
  3. Step 3: Cross multiply
    133.91x = 199.73 × 129.86
  4. Step 4: Simplify right side
    133.91x = 25,936.94
  5. Step 5: Solve for x
    x = 25,936.94/133.91
  6. Step 6: Final answer
    x = 193.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.