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Finding the Fourth Proportional to 135.50, 202.82 and 113.86

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Solution

The fourth proportional to 135.50, 202.82 and 113.86 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.50 : 202.82 = 113.86 : x
  2. Step 2: Convert to fraction form
    135.50/202.82 = 113.86/x
  3. Step 3: Cross multiply
    135.50x = 202.82 × 113.86
  4. Step 4: Simplify right side
    135.50x = 23,093.09
  5. Step 5: Solve for x
    x = 23,093.09/135.50
  6. Step 6: Final answer
    x = 170.43

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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.