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Finding the Fourth Proportional to 116.12, 175.18 and 112.88

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Solution

The fourth proportional to 116.12, 175.18 and 112.88 is: 170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 175.18 = 112.88 : x
  2. Step 2: Convert to fraction form
    116.12/175.18 = 112.88/x
  3. Step 3: Cross multiply
    116.12x = 175.18 × 112.88
  4. Step 4: Simplify right side
    116.12x = 19,774.32
  5. Step 5: Solve for x
    x = 19,774.32/116.12
  6. Step 6: Final answer
    x = 170.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.