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Finding the Fourth Proportional to 247.92, 370.29 and 196.62

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Solution

The fourth proportional to 247.92, 370.29 and 196.62 is: 293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.92 : 370.29 = 196.62 : x
  2. Step 2: Convert to fraction form
    247.92/370.29 = 196.62/x
  3. Step 3: Cross multiply
    247.92x = 370.29 × 196.62
  4. Step 4: Simplify right side
    247.92x = 72,806.42
  5. Step 5: Solve for x
    x = 72,806.42/247.92
  6. Step 6: Final answer
    x = 293.67

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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.