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Finding the Fourth Proportional to 183.52, 274.83 and 129.16

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Solution

The fourth proportional to 183.52, 274.83 and 129.16 is: 193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 274.83 = 129.16 : x
  2. Step 2: Convert to fraction form
    183.52/274.83 = 129.16/x
  3. Step 3: Cross multiply
    183.52x = 274.83 × 129.16
  4. Step 4: Simplify right side
    183.52x = 35,497.04
  5. Step 5: Solve for x
    x = 35,497.04/183.52
  6. Step 6: Final answer
    x = 193.42

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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.