Finding the Fourth Proportional to 209.23, 313.63 and 93.74
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Solution
The fourth proportional to 209.23, 313.63 and 93.74 is: 140.51
Step by Step Solution
- Step 1: Write the proportion equation
209.23 : 313.63 = 93.74 : x - Step 2: Convert to fraction form
209.23/313.63 = 93.74/x - Step 3: Cross multiply
209.23x = 313.63 × 93.74 - Step 4: Simplify right side
209.23x = 29,399.68 - Step 5: Solve for x
x = 29,399.68/209.23 - Step 6: Final answer
x = 140.51
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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.