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Finding the Fourth Proportional to 294.91, 407.09 and 196.81

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Solution

The fourth proportional to 294.91, 407.09 and 196.81 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.91 : 407.09 = 196.81 : x
  2. Step 2: Convert to fraction form
    294.91/407.09 = 196.81/x
  3. Step 3: Cross multiply
    294.91x = 407.09 × 196.81
  4. Step 4: Simplify right side
    294.91x = 80,118.86
  5. Step 5: Solve for x
    x = 80,118.86/294.91
  6. Step 6: Final answer
    x = 271.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.