Finding the Fourth Proportional to 209.84, 313.84 and 157.91
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Solution
The fourth proportional to 209.84, 313.84 and 157.91 is: 236.17
Step by Step Solution
- Step 1: Write the proportion equation
209.84 : 313.84 = 157.91 : x - Step 2: Convert to fraction form
209.84/313.84 = 157.91/x - Step 3: Cross multiply
209.84x = 313.84 × 157.91 - Step 4: Simplify right side
209.84x = 49,557.68 - Step 5: Solve for x
x = 49,557.68/209.84 - Step 6: Final answer
x = 236.17
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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.