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Finding the Fourth Proportional to 378.96, 522.78 and 223.62

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Solution

The fourth proportional to 378.96, 522.78 and 223.62 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 522.78 = 223.62 : x
  2. Step 2: Convert to fraction form
    378.96/522.78 = 223.62/x
  3. Step 3: Cross multiply
    378.96x = 522.78 × 223.62
  4. Step 4: Simplify right side
    378.96x = 116,904.06
  5. Step 5: Solve for x
    x = 116,904.06/378.96
  6. Step 6: Final answer
    x = 308.49

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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.