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Finding the Fourth Proportional to 223.71, 333.18 and 208.68

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Solution

The fourth proportional to 223.71, 333.18 and 208.68 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.71 : 333.18 = 208.68 : x
  2. Step 2: Convert to fraction form
    223.71/333.18 = 208.68/x
  3. Step 3: Cross multiply
    223.71x = 333.18 × 208.68
  4. Step 4: Simplify right side
    223.71x = 69,525.87
  5. Step 5: Solve for x
    x = 69,525.87/223.71
  6. Step 6: Final answer
    x = 310.78

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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.