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Finding the Fourth Proportional to 183.92, 254 and 134.72

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Solution

The fourth proportional to 183.92, 254 and 134.72 is: 186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.92 : 254 = 134.72 : x
  2. Step 2: Convert to fraction form
    183.92/254 = 134.72/x
  3. Step 3: Cross multiply
    183.92x = 254 × 134.72
  4. Step 4: Simplify right side
    183.92x = 34,218.88
  5. Step 5: Solve for x
    x = 34,218.88/183.92
  6. Step 6: Final answer
    x = 186.05

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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.