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Finding the Fourth Proportional to 224.20, 338.01 and 208.54

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Solution

The fourth proportional to 224.20, 338.01 and 208.54 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.20 : 338.01 = 208.54 : x
  2. Step 2: Convert to fraction form
    224.20/338.01 = 208.54/x
  3. Step 3: Cross multiply
    224.20x = 338.01 × 208.54
  4. Step 4: Simplify right side
    224.20x = 70,488.25
  5. Step 5: Solve for x
    x = 70,488.25/224.20
  6. Step 6: Final answer
    x = 314.40

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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.