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Finding the Fourth Proportional to 427.71, 641.47 and 196.54

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Solution

The fourth proportional to 427.71, 641.47 and 196.54 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.71 : 641.47 = 196.54 : x
  2. Step 2: Convert to fraction form
    427.71/641.47 = 196.54/x
  3. Step 3: Cross multiply
    427.71x = 641.47 × 196.54
  4. Step 4: Simplify right side
    427.71x = 126,074.51
  5. Step 5: Solve for x
    x = 126,074.51/427.71
  6. Step 6: Final answer
    x = 294.77

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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.