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Finding the Fourth Proportional to 116.43, 173.64 and 105.49

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Solution

The fourth proportional to 116.43, 173.64 and 105.49 is: 157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.43 : 173.64 = 105.49 : x
  2. Step 2: Convert to fraction form
    116.43/173.64 = 105.49/x
  3. Step 3: Cross multiply
    116.43x = 173.64 × 105.49
  4. Step 4: Simplify right side
    116.43x = 18,317.28
  5. Step 5: Solve for x
    x = 18,317.28/116.43
  6. Step 6: Final answer
    x = 157.32

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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.