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Finding the Fourth Proportional to 133.31, 185.22 and 131.65

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Solution

The fourth proportional to 133.31, 185.22 and 131.65 is: 182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.31 : 185.22 = 131.65 : x
  2. Step 2: Convert to fraction form
    133.31/185.22 = 131.65/x
  3. Step 3: Cross multiply
    133.31x = 185.22 × 131.65
  4. Step 4: Simplify right side
    133.31x = 24,383.75
  5. Step 5: Solve for x
    x = 24,383.75/133.31
  6. Step 6: Final answer
    x = 182.91

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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.