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Finding the Fourth Proportional to 222.29, 303.91 and 213.78

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Solution

The fourth proportional to 222.29, 303.91 and 213.78 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.29 : 303.91 = 213.78 : x
  2. Step 2: Convert to fraction form
    222.29/303.91 = 213.78/x
  3. Step 3: Cross multiply
    222.29x = 303.91 × 213.78
  4. Step 4: Simplify right side
    222.29x = 64,970.49
  5. Step 5: Solve for x
    x = 64,970.49/222.29
  6. Step 6: Final answer
    x = 292.28

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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.