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Finding the Fourth Proportional to 135.20, 202.09 and 131.96

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Solution

The fourth proportional to 135.20, 202.09 and 131.96 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.20 : 202.09 = 131.96 : x
  2. Step 2: Convert to fraction form
    135.20/202.09 = 131.96/x
  3. Step 3: Cross multiply
    135.20x = 202.09 × 131.96
  4. Step 4: Simplify right side
    135.20x = 26,667.80
  5. Step 5: Solve for x
    x = 26,667.80/135.20
  6. Step 6: Final answer
    x = 197.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.