Finding the Fourth Proportional to 232.11, 320.14 and 153.43
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Solution
The fourth proportional to 232.11, 320.14 and 153.43 is: 211.62
Step by Step Solution
- Step 1: Write the proportion equation
232.11 : 320.14 = 153.43 : x - Step 2: Convert to fraction form
232.11/320.14 = 153.43/x - Step 3: Cross multiply
232.11x = 320.14 × 153.43 - Step 4: Simplify right side
232.11x = 49,119.08 - Step 5: Solve for x
x = 49,119.08/232.11 - Step 6: Final answer
x = 211.62
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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.