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Finding the Fourth Proportional to 427.96, 641.33 and 244.97

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Solution

The fourth proportional to 427.96, 641.33 and 244.97 is: 367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.96 : 641.33 = 244.97 : x
  2. Step 2: Convert to fraction form
    427.96/641.33 = 244.97/x
  3. Step 3: Cross multiply
    427.96x = 641.33 × 244.97
  4. Step 4: Simplify right side
    427.96x = 157,106.61
  5. Step 5: Solve for x
    x = 157,106.61/427.96
  6. Step 6: Final answer
    x = 367.11

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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.