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Finding the Fourth Proportional to 294.31, 443.25 and 222.67

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Solution

The fourth proportional to 294.31, 443.25 and 222.67 is: 335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.31 : 443.25 = 222.67 : x
  2. Step 2: Convert to fraction form
    294.31/443.25 = 222.67/x
  3. Step 3: Cross multiply
    294.31x = 443.25 × 222.67
  4. Step 4: Simplify right side
    294.31x = 98,698.48
  5. Step 5: Solve for x
    x = 98,698.48/294.31
  6. Step 6: Final answer
    x = 335.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.