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Finding the Fourth Proportional to 222.69, 308.03 and 208.75

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Solution

The fourth proportional to 222.69, 308.03 and 208.75 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.69 : 308.03 = 208.75 : x
  2. Step 2: Convert to fraction form
    222.69/308.03 = 208.75/x
  3. Step 3: Cross multiply
    222.69x = 308.03 × 208.75
  4. Step 4: Simplify right side
    222.69x = 64,299.72
  5. Step 5: Solve for x
    x = 64,299.72/222.69
  6. Step 6: Final answer
    x = 288.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.