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Finding the Fourth Proportional to 133.16, 183.80 and 100.49

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Solution

The fourth proportional to 133.16, 183.80 and 100.49 is: 138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.16 : 183.80 = 100.49 : x
  2. Step 2: Convert to fraction form
    133.16/183.80 = 100.49/x
  3. Step 3: Cross multiply
    133.16x = 183.80 × 100.49
  4. Step 4: Simplify right side
    133.16x = 18,469.39
  5. Step 5: Solve for x
    x = 18,469.39/133.16
  6. Step 6: Final answer
    x = 138.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.