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Finding the Fourth Proportional to 225.42, 338.07 and 63.11

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Solution

The fourth proportional to 225.42, 338.07 and 63.11 is: 94.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 338.07 = 63.11 : x
  2. Step 2: Convert to fraction form
    225.42/338.07 = 63.11/x
  3. Step 3: Cross multiply
    225.42x = 338.07 × 63.11
  4. Step 4: Simplify right side
    225.42x = 21,336.68
  5. Step 5: Solve for x
    x = 21,336.68/225.42
  6. Step 6: Final answer
    x = 94.65

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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.