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Finding the Fourth Proportional to 377.44, 520.78 and 222.20

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Solution

The fourth proportional to 377.44, 520.78 and 222.20 is: 306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.44 : 520.78 = 222.20 : x
  2. Step 2: Convert to fraction form
    377.44/520.78 = 222.20/x
  3. Step 3: Cross multiply
    377.44x = 520.78 × 222.20
  4. Step 4: Simplify right side
    377.44x = 115,717.32
  5. Step 5: Solve for x
    x = 115,717.32/377.44
  6. Step 6: Final answer
    x = 306.58

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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.