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Finding the Fourth Proportional to 84.36, 126.83 and 69.26

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Solution

The fourth proportional to 84.36, 126.83 and 69.26 is: 104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.36 : 126.83 = 69.26 : x
  2. Step 2: Convert to fraction form
    84.36/126.83 = 69.26/x
  3. Step 3: Cross multiply
    84.36x = 126.83 × 69.26
  4. Step 4: Simplify right side
    84.36x = 8,783.58
  5. Step 5: Solve for x
    x = 8,783.58/84.36
  6. Step 6: Final answer
    x = 104.12

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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.