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Finding the Fourth Proportional to 122.22, 181.80 and 121.82

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Solution

The fourth proportional to 122.22, 181.80 and 121.82 is: 181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 181.80 = 121.82 : x
  2. Step 2: Convert to fraction form
    122.22/181.80 = 121.82/x
  3. Step 3: Cross multiply
    122.22x = 181.80 × 121.82
  4. Step 4: Simplify right side
    122.22x = 22,145.97
  5. Step 5: Solve for x
    x = 22,145.97/122.22
  6. Step 6: Final answer
    x = 181.20

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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.