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Finding the Fourth Proportional to 198.36, 298.62 and 174.78

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Solution

The fourth proportional to 198.36, 298.62 and 174.78 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 298.62 = 174.78 : x
  2. Step 2: Convert to fraction form
    198.36/298.62 = 174.78/x
  3. Step 3: Cross multiply
    198.36x = 298.62 × 174.78
  4. Step 4: Simplify right side
    198.36x = 52,192.80
  5. Step 5: Solve for x
    x = 52,192.80/198.36
  6. Step 6: Final answer
    x = 263.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.