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Finding the Fourth Proportional to 222.05, 334.76 and 206.39

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Solution

The fourth proportional to 222.05, 334.76 and 206.39 is: 311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.05 : 334.76 = 206.39 : x
  2. Step 2: Convert to fraction form
    222.05/334.76 = 206.39/x
  3. Step 3: Cross multiply
    222.05x = 334.76 × 206.39
  4. Step 4: Simplify right side
    222.05x = 69,089.18
  5. Step 5: Solve for x
    x = 69,089.18/222.05
  6. Step 6: Final answer
    x = 311.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.