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Finding the Fourth Proportional to 133.96, 183.27 and 133.38

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Solution

The fourth proportional to 133.96, 183.27 and 133.38 is: 182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.96 : 183.27 = 133.38 : x
  2. Step 2: Convert to fraction form
    133.96/183.27 = 133.38/x
  3. Step 3: Cross multiply
    133.96x = 183.27 × 133.38
  4. Step 4: Simplify right side
    133.96x = 24,444.55
  5. Step 5: Solve for x
    x = 24,444.55/133.96
  6. Step 6: Final answer
    x = 182.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.