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Finding the Fourth Proportional to 378.44, 522.44 and 261.80

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Solution

The fourth proportional to 378.44, 522.44 and 261.80 is: 361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 522.44 = 261.80 : x
  2. Step 2: Convert to fraction form
    378.44/522.44 = 261.80/x
  3. Step 3: Cross multiply
    378.44x = 522.44 × 261.80
  4. Step 4: Simplify right side
    378.44x = 136,770.87
  5. Step 5: Solve for x
    x = 136,770.87/378.44
  6. Step 6: Final answer
    x = 361.41

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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.