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Finding the Fourth Proportional to 222.08, 304.72 and 213.44

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Solution

The fourth proportional to 222.08, 304.72 and 213.44 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.08 : 304.72 = 213.44 : x
  2. Step 2: Convert to fraction form
    222.08/304.72 = 213.44/x
  3. Step 3: Cross multiply
    222.08x = 304.72 × 213.44
  4. Step 4: Simplify right side
    222.08x = 65,039.44
  5. Step 5: Solve for x
    x = 65,039.44/222.08
  6. Step 6: Final answer
    x = 292.86

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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.