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Finding the Fourth Proportional to 254.36, 349.42 and 250.76

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Solution

The fourth proportional to 254.36, 349.42 and 250.76 is: 344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.36 : 349.42 = 250.76 : x
  2. Step 2: Convert to fraction form
    254.36/349.42 = 250.76/x
  3. Step 3: Cross multiply
    254.36x = 349.42 × 250.76
  4. Step 4: Simplify right side
    254.36x = 87,620.56
  5. Step 5: Solve for x
    x = 87,620.56/254.36
  6. Step 6: Final answer
    x = 344.47

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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.