Finding the Fourth Proportional to 207.96, 312.21 and 174.21
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Solution
The fourth proportional to 207.96, 312.21 and 174.21 is: 261.54
Step by Step Solution
- Step 1: Write the proportion equation
207.96 : 312.21 = 174.21 : x - Step 2: Convert to fraction form
207.96/312.21 = 174.21/x - Step 3: Cross multiply
207.96x = 312.21 × 174.21 - Step 4: Simplify right side
207.96x = 54,390.10 - Step 5: Solve for x
x = 54,390.10/207.96 - Step 6: Final answer
x = 261.54
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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.