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Finding the Fourth Proportional to 199.70, 299.70 and 198.77

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Solution

The fourth proportional to 199.70, 299.70 and 198.77 is: 298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.70 : 299.70 = 198.77 : x
  2. Step 2: Convert to fraction form
    199.70/299.70 = 198.77/x
  3. Step 3: Cross multiply
    199.70x = 299.70 × 198.77
  4. Step 4: Simplify right side
    199.70x = 59,571.37
  5. Step 5: Solve for x
    x = 59,571.37/199.70
  6. Step 6: Final answer
    x = 298.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.