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Finding the Fourth Proportional to 116.32, 173.32 and 111.68

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Solution

The fourth proportional to 116.32, 173.32 and 111.68 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.32 : 173.32 = 111.68 : x
  2. Step 2: Convert to fraction form
    116.32/173.32 = 111.68/x
  3. Step 3: Cross multiply
    116.32x = 173.32 × 111.68
  4. Step 4: Simplify right side
    116.32x = 19,356.38
  5. Step 5: Solve for x
    x = 19,356.38/116.32
  6. Step 6: Final answer
    x = 166.41

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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.