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Finding the Fourth Proportional to 205.63, 285.22 and 198.24

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Solution

The fourth proportional to 205.63, 285.22 and 198.24 is: 274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.63 : 285.22 = 198.24 : x
  2. Step 2: Convert to fraction form
    205.63/285.22 = 198.24/x
  3. Step 3: Cross multiply
    205.63x = 285.22 × 198.24
  4. Step 4: Simplify right side
    205.63x = 56,541.52
  5. Step 5: Solve for x
    x = 56,541.52/205.63
  6. Step 6: Final answer
    x = 274.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.