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Finding the Fourth Proportional to 183.13, 274.88 and 131.83

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Solution

The fourth proportional to 183.13, 274.88 and 131.83 is: 197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.13 : 274.88 = 131.83 : x
  2. Step 2: Convert to fraction form
    183.13/274.88 = 131.83/x
  3. Step 3: Cross multiply
    183.13x = 274.88 × 131.83
  4. Step 4: Simplify right side
    183.13x = 36,237.43
  5. Step 5: Solve for x
    x = 36,237.43/183.13
  6. Step 6: Final answer
    x = 197.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.