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Finding the Fourth Proportional to 205.48, 306.52 and 198.37

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Solution

The fourth proportional to 205.48, 306.52 and 198.37 is: 295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 306.52 = 198.37 : x
  2. Step 2: Convert to fraction form
    205.48/306.52 = 198.37/x
  3. Step 3: Cross multiply
    205.48x = 306.52 × 198.37
  4. Step 4: Simplify right side
    205.48x = 60,803.11
  5. Step 5: Solve for x
    x = 60,803.11/205.48
  6. Step 6: Final answer
    x = 295.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.