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Finding the Fourth Proportional to 450.09, 620.73 and 309.96

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Solution

The fourth proportional to 450.09, 620.73 and 309.96 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.09 : 620.73 = 309.96 : x
  2. Step 2: Convert to fraction form
    450.09/620.73 = 309.96/x
  3. Step 3: Cross multiply
    450.09x = 620.73 × 309.96
  4. Step 4: Simplify right side
    450.09x = 192,401.47
  5. Step 5: Solve for x
    x = 192,401.47/450.09
  6. Step 6: Final answer
    x = 427.47

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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.