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Finding the Fourth Proportional to 344.40, 516.36 and 222.78

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Solution

The fourth proportional to 344.40, 516.36 and 222.78 is: 334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 516.36 = 222.78 : x
  2. Step 2: Convert to fraction form
    344.40/516.36 = 222.78/x
  3. Step 3: Cross multiply
    344.40x = 516.36 × 222.78
  4. Step 4: Simplify right side
    344.40x = 115,034.68
  5. Step 5: Solve for x
    x = 115,034.68/344.40
  6. Step 6: Final answer
    x = 334.01

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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.