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Finding the Fourth Proportional to 116.16, 173.28 and 112.78

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Solution

The fourth proportional to 116.16, 173.28 and 112.78 is: 168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.16 : 173.28 = 112.78 : x
  2. Step 2: Convert to fraction form
    116.16/173.28 = 112.78/x
  3. Step 3: Cross multiply
    116.16x = 173.28 × 112.78
  4. Step 4: Simplify right side
    116.16x = 19,541.95
  5. Step 5: Solve for x
    x = 19,541.95/116.16
  6. Step 6: Final answer
    x = 168.23

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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.