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Finding the Fourth Proportional to 304.11, 455.47 and 222.75

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Solution

The fourth proportional to 304.11, 455.47 and 222.75 is: 333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.11 : 455.47 = 222.75 : x
  2. Step 2: Convert to fraction form
    304.11/455.47 = 222.75/x
  3. Step 3: Cross multiply
    304.11x = 455.47 × 222.75
  4. Step 4: Simplify right side
    304.11x = 101,455.39
  5. Step 5: Solve for x
    x = 101,455.39/304.11
  6. Step 6: Final answer
    x = 333.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.