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Finding the Fourth Proportional to 198.51, 297.83 and 95.65

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Solution

The fourth proportional to 198.51, 297.83 and 95.65 is: 143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.51 : 297.83 = 95.65 : x
  2. Step 2: Convert to fraction form
    198.51/297.83 = 95.65/x
  3. Step 3: Cross multiply
    198.51x = 297.83 × 95.65
  4. Step 4: Simplify right side
    198.51x = 28,487.44
  5. Step 5: Solve for x
    x = 28,487.44/198.51
  6. Step 6: Final answer
    x = 143.51

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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.