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Finding the Fourth Proportional to 344.21, 475.09 and 196.93

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Solution

The fourth proportional to 344.21, 475.09 and 196.93 is: 271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.21 : 475.09 = 196.93 : x
  2. Step 2: Convert to fraction form
    344.21/475.09 = 196.93/x
  3. Step 3: Cross multiply
    344.21x = 475.09 × 196.93
  4. Step 4: Simplify right side
    344.21x = 93,558.01
  5. Step 5: Solve for x
    x = 93,558.01/344.21
  6. Step 6: Final answer
    x = 271.80

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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.