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Finding the Fourth Proportional to 300.24, 450.25 and 137.81

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Solution

The fourth proportional to 300.24, 450.25 and 137.81 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 450.25 = 137.81 : x
  2. Step 2: Convert to fraction form
    300.24/450.25 = 137.81/x
  3. Step 3: Cross multiply
    300.24x = 450.25 × 137.81
  4. Step 4: Simplify right side
    300.24x = 62,049.73
  5. Step 5: Solve for x
    x = 62,049.73/300.24
  6. Step 6: Final answer
    x = 206.67

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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.