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Finding the Fourth Proportional to 116.64, 173.97 and 112.91

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Solution

The fourth proportional to 116.64, 173.97 and 112.91 is: 168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 173.97 = 112.91 : x
  2. Step 2: Convert to fraction form
    116.64/173.97 = 112.91/x
  3. Step 3: Cross multiply
    116.64x = 173.97 × 112.91
  4. Step 4: Simplify right side
    116.64x = 19,642.08
  5. Step 5: Solve for x
    x = 19,642.08/116.64
  6. Step 6: Final answer
    x = 168.40

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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.