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Finding the Fourth Proportional to 378.69, 522.78 and 262.05

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Solution

The fourth proportional to 378.69, 522.78 and 262.05 is: 361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.69 : 522.78 = 262.05 : x
  2. Step 2: Convert to fraction form
    378.69/522.78 = 262.05/x
  3. Step 3: Cross multiply
    378.69x = 522.78 × 262.05
  4. Step 4: Simplify right side
    378.69x = 136,991.89
  5. Step 5: Solve for x
    x = 136,991.89/378.69
  6. Step 6: Final answer
    x = 361.76

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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.