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Finding the Fourth Proportional to 205.26, 282.48 and 177.54

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Solution

The fourth proportional to 205.26, 282.48 and 177.54 is: 244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 282.48 = 177.54 : x
  2. Step 2: Convert to fraction form
    205.26/282.48 = 177.54/x
  3. Step 3: Cross multiply
    205.26x = 282.48 × 177.54
  4. Step 4: Simplify right side
    205.26x = 50,151.50
  5. Step 5: Solve for x
    x = 50,151.50/205.26
  6. Step 6: Final answer
    x = 244.33

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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.