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Finding the Fourth Proportional to 222.68, 331.67 and 212.69

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Solution

The fourth proportional to 222.68, 331.67 and 212.69 is: 316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.68 : 331.67 = 212.69 : x
  2. Step 2: Convert to fraction form
    222.68/331.67 = 212.69/x
  3. Step 3: Cross multiply
    222.68x = 331.67 × 212.69
  4. Step 4: Simplify right side
    222.68x = 70,541.23
  5. Step 5: Solve for x
    x = 70,541.23/222.68
  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.