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Finding the Fourth Proportional to 427.95, 641.34 and 196.74

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Solution

The fourth proportional to 427.95, 641.34 and 196.74 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.95 : 641.34 = 196.74 : x
  2. Step 2: Convert to fraction form
    427.95/641.34 = 196.74/x
  3. Step 3: Cross multiply
    427.95x = 641.34 × 196.74
  4. Step 4: Simplify right side
    427.95x = 126,177.23
  5. Step 5: Solve for x
    x = 126,177.23/427.95
  6. Step 6: Final answer
    x = 294.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.