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Finding the Fourth Proportional to 199.86, 297.50 and 198.82

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Solution

The fourth proportional to 199.86, 297.50 and 198.82 is: 295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.86 : 297.50 = 198.82 : x
  2. Step 2: Convert to fraction form
    199.86/297.50 = 198.82/x
  3. Step 3: Cross multiply
    199.86x = 297.50 × 198.82
  4. Step 4: Simplify right side
    199.86x = 59,148.95
  5. Step 5: Solve for x
    x = 59,148.95/199.86
  6. Step 6: Final answer
    x = 295.95

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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.