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Finding the Fourth Proportional to 122.70, 182.75 and 118.44

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Solution

The fourth proportional to 122.70, 182.75 and 118.44 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.70 : 182.75 = 118.44 : x
  2. Step 2: Convert to fraction form
    122.70/182.75 = 118.44/x
  3. Step 3: Cross multiply
    122.70x = 182.75 × 118.44
  4. Step 4: Simplify right side
    122.70x = 21,644.91
  5. Step 5: Solve for x
    x = 21,644.91/122.70
  6. Step 6: Final answer
    x = 176.41

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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.