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Finding the Fourth Proportional to 299.64, 449.43 and 208.29

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Solution

The fourth proportional to 299.64, 449.43 and 208.29 is: 312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 449.43 = 208.29 : x
  2. Step 2: Convert to fraction form
    299.64/449.43 = 208.29/x
  3. Step 3: Cross multiply
    299.64x = 449.43 × 208.29
  4. Step 4: Simplify right side
    299.64x = 93,611.77
  5. Step 5: Solve for x
    x = 93,611.77/299.64
  6. Step 6: Final answer
    x = 312.41

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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.