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Finding the Fourth Proportional to 183.26, 274.47 and 131.96

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Solution

The fourth proportional to 183.26, 274.47 and 131.96 is: 197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.26 : 274.47 = 131.96 : x
  2. Step 2: Convert to fraction form
    183.26/274.47 = 131.96/x
  3. Step 3: Cross multiply
    183.26x = 274.47 × 131.96
  4. Step 4: Simplify right side
    183.26x = 36,219.06
  5. Step 5: Solve for x
    x = 36,219.06/183.26
  6. Step 6: Final answer
    x = 197.64

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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.