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Finding the Fourth Proportional to 183.98, 252.54 and 162.80

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Solution

The fourth proportional to 183.98, 252.54 and 162.80 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.98 : 252.54 = 162.80 : x
  2. Step 2: Convert to fraction form
    183.98/252.54 = 162.80/x
  3. Step 3: Cross multiply
    183.98x = 252.54 × 162.80
  4. Step 4: Simplify right side
    183.98x = 41,112.25
  5. Step 5: Solve for x
    x = 41,112.25/183.98
  6. Step 6: Final answer
    x = 223.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.