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Finding the Fourth Proportional to 205.92, 282.60 and 186.48

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Solution

The fourth proportional to 205.92, 282.60 and 186.48 is: 255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 282.60 = 186.48 : x
  2. Step 2: Convert to fraction form
    205.92/282.60 = 186.48/x
  3. Step 3: Cross multiply
    205.92x = 282.60 × 186.48
  4. Step 4: Simplify right side
    205.92x = 52,699.25
  5. Step 5: Solve for x
    x = 52,699.25/205.92
  6. Step 6: Final answer
    x = 255.92

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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.