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Finding the Fourth Proportional to 198.29, 295.29 and 193.17

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Solution

The fourth proportional to 198.29, 295.29 and 193.17 is: 287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.29 : 295.29 = 193.17 : x
  2. Step 2: Convert to fraction form
    198.29/295.29 = 193.17/x
  3. Step 3: Cross multiply
    198.29x = 295.29 × 193.17
  4. Step 4: Simplify right side
    198.29x = 57,042.28
  5. Step 5: Solve for x
    x = 57,042.28/198.29
  6. Step 6: Final answer
    x = 287.67

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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.