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Finding the Fourth Proportional to 293.31, 441.74 and 221.67

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Solution

The fourth proportional to 293.31, 441.74 and 221.67 is: 333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.31 : 441.74 = 221.67 : x
  2. Step 2: Convert to fraction form
    293.31/441.74 = 221.67/x
  3. Step 3: Cross multiply
    293.31x = 441.74 × 221.67
  4. Step 4: Simplify right side
    293.31x = 97,921.06
  5. Step 5: Solve for x
    x = 97,921.06/293.31
  6. Step 6: Final answer
    x = 333.85

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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.