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Finding the Fourth Proportional to 377.22, 520.65 and 222.06

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Solution

The fourth proportional to 377.22, 520.65 and 222.06 is: 306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.22 : 520.65 = 222.06 : x
  2. Step 2: Convert to fraction form
    377.22/520.65 = 222.06/x
  3. Step 3: Cross multiply
    377.22x = 520.65 × 222.06
  4. Step 4: Simplify right side
    377.22x = 115,615.54
  5. Step 5: Solve for x
    x = 115,615.54/377.22
  6. Step 6: Final answer
    x = 306.49

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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.