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Finding the Fourth Proportional to 222.40, 331.74 and 213.76

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Solution

The fourth proportional to 222.40, 331.74 and 213.76 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.40 : 331.74 = 213.76 : x
  2. Step 2: Convert to fraction form
    222.40/331.74 = 213.76/x
  3. Step 3: Cross multiply
    222.40x = 331.74 × 213.76
  4. Step 4: Simplify right side
    222.40x = 70,912.74
  5. Step 5: Solve for x
    x = 70,912.74/222.40
  6. Step 6: Final answer
    x = 318.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.