Finding the Fourth Proportional to 294.24, 405.81 and 196.10
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Solution
The fourth proportional to 294.24, 405.81 and 196.10 is: 270.45
Step by Step Solution
- Step 1: Write the proportion equation
294.24 : 405.81 = 196.10 : x - Step 2: Convert to fraction form
294.24/405.81 = 196.10/x - Step 3: Cross multiply
294.24x = 405.81 × 196.10 - Step 4: Simplify right side
294.24x = 79,577.31 - Step 5: Solve for x
x = 79,577.31/294.24 - Step 6: Final answer
x = 270.45
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.