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Finding the Fourth Proportional to 198.10, 295.73 and 170.38

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Solution

The fourth proportional to 198.10, 295.73 and 170.38 is: 254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 295.73 = 170.38 : x
  2. Step 2: Convert to fraction form
    198.10/295.73 = 170.38/x
  3. Step 3: Cross multiply
    198.10x = 295.73 × 170.38
  4. Step 4: Simplify right side
    198.10x = 50,386.48
  5. Step 5: Solve for x
    x = 50,386.48/198.10
  6. Step 6: Final answer
    x = 254.35

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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.