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Finding the Fourth Proportional to 199.79, 298.45 and 198.84

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Solution

The fourth proportional to 199.79, 298.45 and 198.84 is: 297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.79 : 298.45 = 198.84 : x
  2. Step 2: Convert to fraction form
    199.79/298.45 = 198.84/x
  3. Step 3: Cross multiply
    199.79x = 298.45 × 198.84
  4. Step 4: Simplify right side
    199.79x = 59,343.80
  5. Step 5: Solve for x
    x = 59,343.80/199.79
  6. Step 6: Final answer
    x = 297.03

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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.