Finding the Fourth Proportional to 313.96, 470.97 and 206.44
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Solution
The fourth proportional to 313.96, 470.97 and 206.44 is: 309.68
Step by Step Solution
- Step 1: Write the proportion equation
313.96 : 470.97 = 206.44 : x - Step 2: Convert to fraction form
313.96/470.97 = 206.44/x - Step 3: Cross multiply
313.96x = 470.97 × 206.44 - Step 4: Simplify right side
313.96x = 97,227.05 - Step 5: Solve for x
x = 97,227.05/313.96 - Step 6: Final answer
x = 309.68
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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.