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Finding the Fourth Proportional to 299.60, 449.40 and 137.60

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Solution

The fourth proportional to 299.60, 449.40 and 137.60 is: 206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 449.40 = 137.60 : x
  2. Step 2: Convert to fraction form
    299.60/449.40 = 137.60/x
  3. Step 3: Cross multiply
    299.60x = 449.40 × 137.60
  4. Step 4: Simplify right side
    299.60x = 61,837.44
  5. Step 5: Solve for x
    x = 61,837.44/299.60
  6. Step 6: Final answer
    x = 206.40

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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.