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Finding the Fourth Proportional to 135.26, 203 and 108.38

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Solution

The fourth proportional to 135.26, 203 and 108.38 is: 162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 203 = 108.38 : x
  2. Step 2: Convert to fraction form
    135.26/203 = 108.38/x
  3. Step 3: Cross multiply
    135.26x = 203 × 108.38
  4. Step 4: Simplify right side
    135.26x = 22,001.14
  5. Step 5: Solve for x
    x = 22,001.14/135.26
  6. Step 6: Final answer
    x = 162.66

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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.