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Finding the Fourth Proportional to 300.83, 414.77 and 222.03

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Solution

The fourth proportional to 300.83, 414.77 and 222.03 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.83 : 414.77 = 222.03 : x
  2. Step 2: Convert to fraction form
    300.83/414.77 = 222.03/x
  3. Step 3: Cross multiply
    300.83x = 414.77 × 222.03
  4. Step 4: Simplify right side
    300.83x = 92,090.27
  5. Step 5: Solve for x
    x = 92,090.27/300.83
  6. Step 6: Final answer
    x = 306.13

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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.