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Finding the Fourth Proportional to 122.66, 182.90 and 108.27

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Solution

The fourth proportional to 122.66, 182.90 and 108.27 is: 161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.66 : 182.90 = 108.27 : x
  2. Step 2: Convert to fraction form
    122.66/182.90 = 108.27/x
  3. Step 3: Cross multiply
    122.66x = 182.90 × 108.27
  4. Step 4: Simplify right side
    122.66x = 19,802.58
  5. Step 5: Solve for x
    x = 19,802.58/122.66
  6. Step 6: Final answer
    x = 161.44

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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.