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Finding the Fourth Proportional to 116.63, 173.91 and 108.26

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Solution

The fourth proportional to 116.63, 173.91 and 108.26 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.63 : 173.91 = 108.26 : x
  2. Step 2: Convert to fraction form
    116.63/173.91 = 108.26/x
  3. Step 3: Cross multiply
    116.63x = 173.91 × 108.26
  4. Step 4: Simplify right side
    116.63x = 18,826.22
  5. Step 5: Solve for x
    x = 18,826.22/116.63
  6. Step 6: Final answer
    x = 161.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.