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Finding the Fourth Proportional to 243.92, 336.60 and 197.34

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Solution

The fourth proportional to 243.92, 336.60 and 197.34 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.92 : 336.60 = 197.34 : x
  2. Step 2: Convert to fraction form
    243.92/336.60 = 197.34/x
  3. Step 3: Cross multiply
    243.92x = 336.60 × 197.34
  4. Step 4: Simplify right side
    243.92x = 66,424.64
  5. Step 5: Solve for x
    x = 66,424.64/243.92
  6. Step 6: Final answer
    x = 272.33

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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.