Finding the Fourth Proportional to 378.26, 566.69 and 340.23
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Solution
The fourth proportional to 378.26, 566.69 and 340.23 is: 509.72
Step by Step Solution
- Step 1: Write the proportion equation
378.26 : 566.69 = 340.23 : x - Step 2: Convert to fraction form
378.26/566.69 = 340.23/x - Step 3: Cross multiply
378.26x = 566.69 × 340.23 - Step 4: Simplify right side
378.26x = 192,803.24 - Step 5: Solve for x
x = 192,803.24/378.26 - Step 6: Final answer
x = 509.72
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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.