Finding the Fourth Proportional to 423.11, 634.70 and 163.23
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Solution
The fourth proportional to 423.11, 634.70 and 163.23 is: 244.86
Step by Step Solution
- Step 1: Write the proportion equation
423.11 : 634.70 = 163.23 : x - Step 2: Convert to fraction form
423.11/634.70 = 163.23/x - Step 3: Cross multiply
423.11x = 634.70 × 163.23 - Step 4: Simplify right side
423.11x = 103,602.08 - Step 5: Solve for x
x = 103,602.08/423.11 - Step 6: Final answer
x = 244.86
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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.