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Finding the Fourth Proportional to 300.75, 450.95 and 154.34

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Solution

The fourth proportional to 300.75, 450.95 and 154.34 is: 231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.75 : 450.95 = 154.34 : x
  2. Step 2: Convert to fraction form
    300.75/450.95 = 154.34/x
  3. Step 3: Cross multiply
    300.75x = 450.95 × 154.34
  4. Step 4: Simplify right side
    300.75x = 69,596.60
  5. Step 5: Solve for x
    x = 69,596.60/300.75
  6. Step 6: Final answer
    x = 231.41

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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.