Finding the Fourth Proportional to 282.24, 422.08 and 243.84
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Solution
The fourth proportional to 282.24, 422.08 and 243.84 is: 364.65
Step by Step Solution
- Step 1: Write the proportion equation
282.24 : 422.08 = 243.84 : x - Step 2: Convert to fraction form
282.24/422.08 = 243.84/x - Step 3: Cross multiply
282.24x = 422.08 × 243.84 - Step 4: Simplify right side
282.24x = 102,919.99 - Step 5: Solve for x
x = 102,919.99/282.24 - Step 6: Final answer
x = 364.65
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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.