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Finding the Fourth Proportional to 197.95, 298.27 and 162.67

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Solution

The fourth proportional to 197.95, 298.27 and 162.67 is: 245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.95 : 298.27 = 162.67 : x
  2. Step 2: Convert to fraction form
    197.95/298.27 = 162.67/x
  3. Step 3: Cross multiply
    197.95x = 298.27 × 162.67
  4. Step 4: Simplify right side
    197.95x = 48,517.89
  5. Step 5: Solve for x
    x = 48,517.89/197.95
  6. Step 6: Final answer
    x = 245.11

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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.