Finding the Fourth Proportional to 378.74, 568.14 and 122.26
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Solution
The fourth proportional to 378.74, 568.14 and 122.26 is: 183.40
Step by Step Solution
- Step 1: Write the proportion equation
378.74 : 568.14 = 122.26 : x - Step 2: Convert to fraction form
378.74/568.14 = 122.26/x - Step 3: Cross multiply
378.74x = 568.14 × 122.26 - Step 4: Simplify right side
378.74x = 69,460.80 - Step 5: Solve for x
x = 69,460.80/378.74 - Step 6: Final answer
x = 183.40
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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.