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Finding the Fourth Proportional to 450.11, 620.80 and 300.67

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Solution

The fourth proportional to 450.11, 620.80 and 300.67 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.11 : 620.80 = 300.67 : x
  2. Step 2: Convert to fraction form
    450.11/620.80 = 300.67/x
  3. Step 3: Cross multiply
    450.11x = 620.80 × 300.67
  4. Step 4: Simplify right side
    450.11x = 186,655.94
  5. Step 5: Solve for x
    x = 186,655.94/450.11
  6. Step 6: Final answer
    x = 414.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.