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Finding the Fourth Proportional to 116.23, 173.43 and 115.55

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Solution

The fourth proportional to 116.23, 173.43 and 115.55 is: 172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 173.43 = 115.55 : x
  2. Step 2: Convert to fraction form
    116.23/173.43 = 115.55/x
  3. Step 3: Cross multiply
    116.23x = 173.43 × 115.55
  4. Step 4: Simplify right side
    116.23x = 20,039.55
  5. Step 5: Solve for x
    x = 20,039.55/116.23
  6. Step 6: Final answer
    x = 172.42

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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.