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Finding the Fourth Proportional to 198.21, 295.68 and 195.57

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Solution

The fourth proportional to 198.21, 295.68 and 195.57 is: 291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.21 : 295.68 = 195.57 : x
  2. Step 2: Convert to fraction form
    198.21/295.68 = 195.57/x
  3. Step 3: Cross multiply
    198.21x = 295.68 × 195.57
  4. Step 4: Simplify right side
    198.21x = 57,826.14
  5. Step 5: Solve for x
    x = 57,826.14/198.21
  6. Step 6: Final answer
    x = 291.74

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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.