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Finding the Fourth Proportional to 116.10, 172.96 and 110.21

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Solution

The fourth proportional to 116.10, 172.96 and 110.21 is: 164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 172.96 = 110.21 : x
  2. Step 2: Convert to fraction form
    116.10/172.96 = 110.21/x
  3. Step 3: Cross multiply
    116.10x = 172.96 × 110.21
  4. Step 4: Simplify right side
    116.10x = 19,060.78
  5. Step 5: Solve for x
    x = 19,060.78/116.10
  6. Step 6: Final answer
    x = 164.18

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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.