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Finding the Fourth Proportional to 378.83, 522.86 and 285.44

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Solution

The fourth proportional to 378.83, 522.86 and 285.44 is: 393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.83 : 522.86 = 285.44 : x
  2. Step 2: Convert to fraction form
    378.83/522.86 = 285.44/x
  3. Step 3: Cross multiply
    378.83x = 522.86 × 285.44
  4. Step 4: Simplify right side
    378.83x = 149,243.73
  5. Step 5: Solve for x
    x = 149,243.73/378.83
  6. Step 6: Final answer
    x = 393.96

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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.