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Finding the Fourth Proportional to 300.06, 449.67 and 137.58

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Solution

The fourth proportional to 300.06, 449.67 and 137.58 is: 206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.06 : 449.67 = 137.58 : x
  2. Step 2: Convert to fraction form
    300.06/449.67 = 137.58/x
  3. Step 3: Cross multiply
    300.06x = 449.67 × 137.58
  4. Step 4: Simplify right side
    300.06x = 61,865.60
  5. Step 5: Solve for x
    x = 61,865.60/300.06
  6. Step 6: Final answer
    x = 206.18

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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.