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Finding the Fourth Proportional to 531.28, 796.38 and 222.94

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Solution

The fourth proportional to 531.28, 796.38 and 222.94 is: 334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.28 : 796.38 = 222.94 : x
  2. Step 2: Convert to fraction form
    531.28/796.38 = 222.94/x
  3. Step 3: Cross multiply
    531.28x = 796.38 × 222.94
  4. Step 4: Simplify right side
    531.28x = 177,544.96
  5. Step 5: Solve for x
    x = 177,544.96/531.28
  6. Step 6: Final answer
    x = 334.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.