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Finding the Fourth Proportional to 198.94, 298.45 and 70.69

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Solution

The fourth proportional to 198.94, 298.45 and 70.69 is: 106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 298.45 = 70.69 : x
  2. Step 2: Convert to fraction form
    198.94/298.45 = 70.69/x
  3. Step 3: Cross multiply
    198.94x = 298.45 × 70.69
  4. Step 4: Simplify right side
    198.94x = 21,096.77
  5. Step 5: Solve for x
    x = 21,096.77/198.94
  6. Step 6: Final answer
    x = 106.05

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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.