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Finding the Fourth Proportional to 331.98, 458.26 and 221.42

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Solution

The fourth proportional to 331.98, 458.26 and 221.42 is: 305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.98 : 458.26 = 221.42 : x
  2. Step 2: Convert to fraction form
    331.98/458.26 = 221.42/x
  3. Step 3: Cross multiply
    331.98x = 458.26 × 221.42
  4. Step 4: Simplify right side
    331.98x = 101,467.93
  5. Step 5: Solve for x
    x = 101,467.93/331.98
  6. Step 6: Final answer
    x = 305.64

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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.