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Finding the Fourth Proportional to 365.62, 548.54 and 122.22

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Solution

The fourth proportional to 365.62, 548.54 and 122.22 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.62 : 548.54 = 122.22 : x
  2. Step 2: Convert to fraction form
    365.62/548.54 = 122.22/x
  3. Step 3: Cross multiply
    365.62x = 548.54 × 122.22
  4. Step 4: Simplify right side
    365.62x = 67,042.56
  5. Step 5: Solve for x
    x = 67,042.56/365.62
  6. Step 6: Final answer
    x = 183.37

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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.