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Finding the Fourth Proportional to 205.50, 282.78 and 180.93

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Solution

The fourth proportional to 205.50, 282.78 and 180.93 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 282.78 = 180.93 : x
  2. Step 2: Convert to fraction form
    205.50/282.78 = 180.93/x
  3. Step 3: Cross multiply
    205.50x = 282.78 × 180.93
  4. Step 4: Simplify right side
    205.50x = 51,163.39
  5. Step 5: Solve for x
    x = 51,163.39/205.50
  6. Step 6: Final answer
    x = 248.97

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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.