Finding the Fourth Proportional to 363.21, 543.84 and 289.74
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Solution
The fourth proportional to 363.21, 543.84 and 289.74 is: 433.82
Step by Step Solution
- Step 1: Write the proportion equation
363.21 : 543.84 = 289.74 : x - Step 2: Convert to fraction form
363.21/543.84 = 289.74/x - Step 3: Cross multiply
363.21x = 543.84 × 289.74 - Step 4: Simplify right side
363.21x = 157,569.08 - Step 5: Solve for x
x = 157,569.08/363.21 - Step 6: Final answer
x = 433.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.