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Finding the Fourth Proportional to 299.54, 449.35 and 208.01

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Solution

The fourth proportional to 299.54, 449.35 and 208.01 is: 312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 449.35 = 208.01 : x
  2. Step 2: Convert to fraction form
    299.54/449.35 = 208.01/x
  3. Step 3: Cross multiply
    299.54x = 449.35 × 208.01
  4. Step 4: Simplify right side
    299.54x = 93,469.90
  5. Step 5: Solve for x
    x = 93,469.90/299.54
  6. Step 6: Final answer
    x = 312.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.