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Finding the Fourth Proportional to 224.69, 335.37 and 208.64

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Solution

The fourth proportional to 224.69, 335.37 and 208.64 is: 311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.69 : 335.37 = 208.64 : x
  2. Step 2: Convert to fraction form
    224.69/335.37 = 208.64/x
  3. Step 3: Cross multiply
    224.69x = 335.37 × 208.64
  4. Step 4: Simplify right side
    224.69x = 69,971.80
  5. Step 5: Solve for x
    x = 69,971.80/224.69
  6. Step 6: Final answer
    x = 311.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.