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Finding the Fourth Proportional to 300.74, 450.03 and 208.21

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Solution

The fourth proportional to 300.74, 450.03 and 208.21 is: 311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.74 : 450.03 = 208.21 : x
  2. Step 2: Convert to fraction form
    300.74/450.03 = 208.21/x
  3. Step 3: Cross multiply
    300.74x = 450.03 × 208.21
  4. Step 4: Simplify right side
    300.74x = 93,700.75
  5. Step 5: Solve for x
    x = 93,700.75/300.74
  6. Step 6: Final answer
    x = 311.57

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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.