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Finding the Fourth Proportional to 308.35, 464.34 and 222.28

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Solution

The fourth proportional to 308.35, 464.34 and 222.28 is: 334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.35 : 464.34 = 222.28 : x
  2. Step 2: Convert to fraction form
    308.35/464.34 = 222.28/x
  3. Step 3: Cross multiply
    308.35x = 464.34 × 222.28
  4. Step 4: Simplify right side
    308.35x = 103,213.56
  5. Step 5: Solve for x
    x = 103,213.56/308.35
  6. Step 6: Final answer
    x = 334.73

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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.