Finding the Fourth Proportional to 423.63, 584.42 and 298.99
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Solution
The fourth proportional to 423.63, 584.42 and 298.99 is: 412.47
Step by Step Solution
- Step 1: Write the proportion equation
423.63 : 584.42 = 298.99 : x - Step 2: Convert to fraction form
423.63/584.42 = 298.99/x - Step 3: Cross multiply
423.63x = 584.42 × 298.99 - Step 4: Simplify right side
423.63x = 174,734.97 - Step 5: Solve for x
x = 174,734.97/423.63 - Step 6: Final answer
x = 412.47
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.