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Finding the Fourth Proportional to 122.43, 182.41 and 116.31

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Solution

The fourth proportional to 122.43, 182.41 and 116.31 is: 173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.43 : 182.41 = 116.31 : x
  2. Step 2: Convert to fraction form
    122.43/182.41 = 116.31/x
  3. Step 3: Cross multiply
    122.43x = 182.41 × 116.31
  4. Step 4: Simplify right side
    122.43x = 21,215.82
  5. Step 5: Solve for x
    x = 21,215.82/122.43
  6. Step 6: Final answer
    x = 173.29

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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.