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Finding the Fourth Proportional to 84.41, 126.46 and 75.37

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Solution

The fourth proportional to 84.41, 126.46 and 75.37 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.41 : 126.46 = 75.37 : x
  2. Step 2: Convert to fraction form
    84.41/126.46 = 75.37/x
  3. Step 3: Cross multiply
    84.41x = 126.46 × 75.37
  4. Step 4: Simplify right side
    84.41x = 9,531.37
  5. Step 5: Solve for x
    x = 9,531.37/84.41
  6. Step 6: Final answer
    x = 112.91

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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.