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Finding the Fourth Proportional to 133.91, 199.42 and 129.35

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Solution

The fourth proportional to 133.91, 199.42 and 129.35 is: 192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.91 : 199.42 = 129.35 : x
  2. Step 2: Convert to fraction form
    133.91/199.42 = 129.35/x
  3. Step 3: Cross multiply
    133.91x = 199.42 × 129.35
  4. Step 4: Simplify right side
    133.91x = 25,795.88
  5. Step 5: Solve for x
    x = 25,795.88/133.91
  6. Step 6: Final answer
    x = 192.64

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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.