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Finding the Fourth Proportional to 344.45, 475.34 and 197.09

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Solution

The fourth proportional to 344.45, 475.34 and 197.09 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.45 : 475.34 = 197.09 : x
  2. Step 2: Convert to fraction form
    344.45/475.34 = 197.09/x
  3. Step 3: Cross multiply
    344.45x = 475.34 × 197.09
  4. Step 4: Simplify right side
    344.45x = 93,681.40
  5. Step 5: Solve for x
    x = 93,681.40/344.45
  6. Step 6: Final answer
    x = 271.98

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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.