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Finding the Fourth Proportional to 223.20, 332.46 and 212.67

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Solution

The fourth proportional to 223.20, 332.46 and 212.67 is: 316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 332.46 = 212.67 : x
  2. Step 2: Convert to fraction form
    223.20/332.46 = 212.67/x
  3. Step 3: Cross multiply
    223.20x = 332.46 × 212.67
  4. Step 4: Simplify right side
    223.20x = 70,704.27
  5. Step 5: Solve for x
    x = 70,704.27/223.20
  6. Step 6: Final answer
    x = 316.78

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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.