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Finding the Fourth Proportional to 183.28, 252.74 and 141.74

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Solution

The fourth proportional to 183.28, 252.74 and 141.74 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.28 : 252.74 = 141.74 : x
  2. Step 2: Convert to fraction form
    183.28/252.74 = 141.74/x
  3. Step 3: Cross multiply
    183.28x = 252.74 × 141.74
  4. Step 4: Simplify right side
    183.28x = 35,824.35
  5. Step 5: Solve for x
    x = 35,824.35/183.28
  6. Step 6: Final answer
    x = 195.47

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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.