Finding the Fourth Proportional to 226.23, 312.09 and 138.95
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Solution
The fourth proportional to 226.23, 312.09 and 138.95 is: 191.68
Step by Step Solution
- Step 1: Write the proportion equation
226.23 : 312.09 = 138.95 : x - Step 2: Convert to fraction form
226.23/312.09 = 138.95/x - Step 3: Cross multiply
226.23x = 312.09 × 138.95 - Step 4: Simplify right side
226.23x = 43,363.99 - Step 5: Solve for x
x = 43,363.99/226.23 - Step 6: Final answer
x = 191.68
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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.