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Finding the Fourth Proportional to 183.37, 252.55 and 158.80

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Solution

The fourth proportional to 183.37, 252.55 and 158.80 is: 218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.37 : 252.55 = 158.80 : x
  2. Step 2: Convert to fraction form
    183.37/252.55 = 158.80/x
  3. Step 3: Cross multiply
    183.37x = 252.55 × 158.80
  4. Step 4: Simplify right side
    183.37x = 40,104.94
  5. Step 5: Solve for x
    x = 40,104.94/183.37
  6. Step 6: Final answer
    x = 218.71

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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.