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Finding the Fourth Proportional to 438.56, 605.26 and 327.85

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Solution

The fourth proportional to 438.56, 605.26 and 327.85 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 605.26 = 327.85 : x
  2. Step 2: Convert to fraction form
    438.56/605.26 = 327.85/x
  3. Step 3: Cross multiply
    438.56x = 605.26 × 327.85
  4. Step 4: Simplify right side
    438.56x = 198,431.46
  5. Step 5: Solve for x
    x = 198,431.46/438.56
  6. Step 6: Final answer
    x = 452.46

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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.