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Finding the Fourth Proportional to 222.48, 308.25 and 218.97

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Solution

The fourth proportional to 222.48, 308.25 and 218.97 is: 303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.48 : 308.25 = 218.97 : x
  2. Step 2: Convert to fraction form
    222.48/308.25 = 218.97/x
  3. Step 3: Cross multiply
    222.48x = 308.25 × 218.97
  4. Step 4: Simplify right side
    222.48x = 67,497.50
  5. Step 5: Solve for x
    x = 67,497.50/222.48
  6. Step 6: Final answer
    x = 303.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.