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Finding the Fourth Proportional to 122.22, 183.54 and 120.30

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Solution

The fourth proportional to 122.22, 183.54 and 120.30 is: 180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 183.54 = 120.30 : x
  2. Step 2: Convert to fraction form
    122.22/183.54 = 120.30/x
  3. Step 3: Cross multiply
    122.22x = 183.54 × 120.30
  4. Step 4: Simplify right side
    122.22x = 22,079.86
  5. Step 5: Solve for x
    x = 22,079.86/122.22
  6. Step 6: Final answer
    x = 180.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.