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Finding the Fourth Proportional to 205.50, 282.48 and 180.66

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Solution

The fourth proportional to 205.50, 282.48 and 180.66 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 282.48 = 180.66 : x
  2. Step 2: Convert to fraction form
    205.50/282.48 = 180.66/x
  3. Step 3: Cross multiply
    205.50x = 282.48 × 180.66
  4. Step 4: Simplify right side
    205.50x = 51,032.84
  5. Step 5: Solve for x
    x = 51,032.84/205.50
  6. Step 6: Final answer
    x = 248.33

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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.