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Finding the Fourth Proportional to 349.98, 480.14 and 327.90

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Solution

The fourth proportional to 349.98, 480.14 and 327.90 is: 449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.98 : 480.14 = 327.90 : x
  2. Step 2: Convert to fraction form
    349.98/480.14 = 327.90/x
  3. Step 3: Cross multiply
    349.98x = 480.14 × 327.90
  4. Step 4: Simplify right side
    349.98x = 157,436.27
  5. Step 5: Solve for x
    x = 157,436.27/349.98
  6. Step 6: Final answer
    x = 449.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.