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Finding the Fourth Proportional to 378.86, 522.83 and 213.08

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Solution

The fourth proportional to 378.86, 522.83 and 213.08 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 522.83 = 213.08 : x
  2. Step 2: Convert to fraction form
    378.86/522.83 = 213.08/x
  3. Step 3: Cross multiply
    378.86x = 522.83 × 213.08
  4. Step 4: Simplify right side
    378.86x = 111,400.94
  5. Step 5: Solve for x
    x = 111,400.94/378.86
  6. Step 6: Final answer
    x = 294.05

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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.