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Finding the Fourth Proportional to 100.26, 137.46 and 97.54

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Solution

The fourth proportional to 100.26, 137.46 and 97.54 is: 133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.26 : 137.46 = 97.54 : x
  2. Step 2: Convert to fraction form
    100.26/137.46 = 97.54/x
  3. Step 3: Cross multiply
    100.26x = 137.46 × 97.54
  4. Step 4: Simplify right side
    100.26x = 13,407.36
  5. Step 5: Solve for x
    x = 13,407.36/100.26
  6. Step 6: Final answer
    x = 133.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.