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Finding the Fourth Proportional to 299.94, 449.64 and 137.58

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Solution

The fourth proportional to 299.94, 449.64 and 137.58 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 449.64 = 137.58 : x
  2. Step 2: Convert to fraction form
    299.94/449.64 = 137.58/x
  3. Step 3: Cross multiply
    299.94x = 449.64 × 137.58
  4. Step 4: Simplify right side
    299.94x = 61,861.47
  5. Step 5: Solve for x
    x = 61,861.47/299.94
  6. Step 6: Final answer
    x = 206.25

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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.