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Finding the Fourth Proportional to 225.77, 338.81 and 134.55

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Solution

The fourth proportional to 225.77, 338.81 and 134.55 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.77 : 338.81 = 134.55 : x
  2. Step 2: Convert to fraction form
    225.77/338.81 = 134.55/x
  3. Step 3: Cross multiply
    225.77x = 338.81 × 134.55
  4. Step 4: Simplify right side
    225.77x = 45,586.21
  5. Step 5: Solve for x
    x = 45,586.21/225.77
  6. Step 6: Final answer
    x = 201.92

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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.