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Finding the Fourth Proportional to 183.36, 252.42 and 162.61

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Solution

The fourth proportional to 183.36, 252.42 and 162.61 is: 223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.36 : 252.42 = 162.61 : x
  2. Step 2: Convert to fraction form
    183.36/252.42 = 162.61/x
  3. Step 3: Cross multiply
    183.36x = 252.42 × 162.61
  4. Step 4: Simplify right side
    183.36x = 41,044.78
  5. Step 5: Solve for x
    x = 41,044.78/183.36
  6. Step 6: Final answer
    x = 223.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.