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Finding the Fourth Proportional to 222.27, 334.98 and 208.59

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Solution

The fourth proportional to 222.27, 334.98 and 208.59 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.27 : 334.98 = 208.59 : x
  2. Step 2: Convert to fraction form
    222.27/334.98 = 208.59/x
  3. Step 3: Cross multiply
    222.27x = 334.98 × 208.59
  4. Step 4: Simplify right side
    222.27x = 69,873.48
  5. Step 5: Solve for x
    x = 69,873.48/222.27
  6. Step 6: Final answer
    x = 314.36

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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.