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Finding the Fourth Proportional to 116.20, 172.94 and 110.80

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Solution

The fourth proportional to 116.20, 172.94 and 110.80 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.20 : 172.94 = 110.80 : x
  2. Step 2: Convert to fraction form
    116.20/172.94 = 110.80/x
  3. Step 3: Cross multiply
    116.20x = 172.94 × 110.80
  4. Step 4: Simplify right side
    116.20x = 19,161.75
  5. Step 5: Solve for x
    x = 19,161.75/116.20
  6. Step 6: Final answer
    x = 164.90

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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.