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Finding the Fourth Proportional to 198.88, 298.31 and 70.63

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Solution

The fourth proportional to 198.88, 298.31 and 70.63 is: 105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 298.31 = 70.63 : x
  2. Step 2: Convert to fraction form
    198.88/298.31 = 70.63/x
  3. Step 3: Cross multiply
    198.88x = 298.31 × 70.63
  4. Step 4: Simplify right side
    198.88x = 21,069.64
  5. Step 5: Solve for x
    x = 21,069.64/198.88
  6. Step 6: Final answer
    x = 105.94

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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.