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Finding the Fourth Proportional to 133.09, 183.67 and 80.66

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Solution

The fourth proportional to 133.09, 183.67 and 80.66 is: 111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 183.67 = 80.66 : x
  2. Step 2: Convert to fraction form
    133.09/183.67 = 80.66/x
  3. Step 3: Cross multiply
    133.09x = 183.67 × 80.66
  4. Step 4: Simplify right side
    133.09x = 14,815.08
  5. Step 5: Solve for x
    x = 14,815.08/133.09
  6. Step 6: Final answer
    x = 111.31

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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.