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Finding the Fourth Proportional to 321, 442.94 and 196.68

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Solution

The fourth proportional to 321, 442.94 and 196.68 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 442.94 = 196.68 : x
  2. Step 2: Convert to fraction form
    321/442.94 = 196.68/x
  3. Step 3: Cross multiply
    321x = 442.94 × 196.68
  4. Step 4: Simplify right side
    321x = 87,116.46
  5. Step 5: Solve for x
    x = 87,116.46/321
  6. Step 6: Final answer
    x = 271.39

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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.