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Finding the Fourth Proportional to 250.71, 344.14 and 222.46

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Solution

The fourth proportional to 250.71, 344.14 and 222.46 is: 305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.71 : 344.14 = 222.46 : x
  2. Step 2: Convert to fraction form
    250.71/344.14 = 222.46/x
  3. Step 3: Cross multiply
    250.71x = 344.14 × 222.46
  4. Step 4: Simplify right side
    250.71x = 76,557.69
  5. Step 5: Solve for x
    x = 76,557.69/250.71
  6. Step 6: Final answer
    x = 305.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.