Finding the Fourth Proportional to 196.49, 294.74 and 159.88
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Solution
The fourth proportional to 196.49, 294.74 and 159.88 is: 239.82
Step by Step Solution
- Step 1: Write the proportion equation
196.49 : 294.74 = 159.88 : x - Step 2: Convert to fraction form
196.49/294.74 = 159.88/x - Step 3: Cross multiply
196.49x = 294.74 × 159.88 - Step 4: Simplify right side
196.49x = 47,123.03 - Step 5: Solve for x
x = 47,123.03/196.49 - Step 6: Final answer
x = 239.82
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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.