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Finding the Fourth Proportional to 224.64, 338.15 and 194.87

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Solution

The fourth proportional to 224.64, 338.15 and 194.87 is: 293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 338.15 = 194.87 : x
  2. Step 2: Convert to fraction form
    224.64/338.15 = 194.87/x
  3. Step 3: Cross multiply
    224.64x = 338.15 × 194.87
  4. Step 4: Simplify right side
    224.64x = 65,896.62
  5. Step 5: Solve for x
    x = 65,896.62/224.64
  6. Step 6: Final answer
    x = 293.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.