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Finding the Fourth Proportional to 205.02, 305.51 and 198.50

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Solution

The fourth proportional to 205.02, 305.51 and 198.50 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 305.51 = 198.50 : x
  2. Step 2: Convert to fraction form
    205.02/305.51 = 198.50/x
  3. Step 3: Cross multiply
    205.02x = 305.51 × 198.50
  4. Step 4: Simplify right side
    205.02x = 60,641.21
  5. Step 5: Solve for x
    x = 60,641.21/205.02
  6. Step 6: Final answer
    x = 295.78

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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.