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Finding the Fourth Proportional to 443.22, 663.78 and 257.73

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Solution

The fourth proportional to 443.22, 663.78 and 257.73 is: 385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.22 : 663.78 = 257.73 : x
  2. Step 2: Convert to fraction form
    443.22/663.78 = 257.73/x
  3. Step 3: Cross multiply
    443.22x = 663.78 × 257.73
  4. Step 4: Simplify right side
    443.22x = 171,076.02
  5. Step 5: Solve for x
    x = 171,076.02/443.22
  6. Step 6: Final answer
    x = 385.98

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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.