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Finding the Fourth Proportional to 254.27, 350.70 and 201.71

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Solution

The fourth proportional to 254.27, 350.70 and 201.71 is: 278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.27 : 350.70 = 201.71 : x
  2. Step 2: Convert to fraction form
    254.27/350.70 = 201.71/x
  3. Step 3: Cross multiply
    254.27x = 350.70 × 201.71
  4. Step 4: Simplify right side
    254.27x = 70,739.70
  5. Step 5: Solve for x
    x = 70,739.70/254.27
  6. Step 6: Final answer
    x = 278.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.