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Finding the Fourth Proportional to 427.42, 641.22 and 244.81

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Solution

The fourth proportional to 427.42, 641.22 and 244.81 is: 367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.42 : 641.22 = 244.81 : x
  2. Step 2: Convert to fraction form
    427.42/641.22 = 244.81/x
  3. Step 3: Cross multiply
    427.42x = 641.22 × 244.81
  4. Step 4: Simplify right side
    427.42x = 156,977.07
  5. Step 5: Solve for x
    x = 156,977.07/427.42
  6. Step 6: Final answer
    x = 367.27

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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.