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Finding the Fourth Proportional to 222.74, 304.95 and 221.96

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Solution

The fourth proportional to 222.74, 304.95 and 221.96 is: 303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.74 : 304.95 = 221.96 : x
  2. Step 2: Convert to fraction form
    222.74/304.95 = 221.96/x
  3. Step 3: Cross multiply
    222.74x = 304.95 × 221.96
  4. Step 4: Simplify right side
    222.74x = 67,685.18
  5. Step 5: Solve for x
    x = 67,685.18/222.74
  6. Step 6: Final answer
    x = 303.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.