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Finding the Fourth Proportional to 253.74, 380.49 and 131.97

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Solution

The fourth proportional to 253.74, 380.49 and 131.97 is: 197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.74 : 380.49 = 131.97 : x
  2. Step 2: Convert to fraction form
    253.74/380.49 = 131.97/x
  3. Step 3: Cross multiply
    253.74x = 380.49 × 131.97
  4. Step 4: Simplify right side
    253.74x = 50,213.27
  5. Step 5: Solve for x
    x = 50,213.27/253.74
  6. Step 6: Final answer
    x = 197.89

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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.