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Finding the Fourth Proportional to 116.44, 175.63 and 112.78

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Solution

The fourth proportional to 116.44, 175.63 and 112.78 is: 170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.44 : 175.63 = 112.78 : x
  2. Step 2: Convert to fraction form
    116.44/175.63 = 112.78/x
  3. Step 3: Cross multiply
    116.44x = 175.63 × 112.78
  4. Step 4: Simplify right side
    116.44x = 19,807.55
  5. Step 5: Solve for x
    x = 19,807.55/116.44
  6. Step 6: Final answer
    x = 170.11

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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.