Finding the Fourth Proportional to 301.44, 416 and 177.14
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Solution
The fourth proportional to 301.44, 416 and 177.14 is: 244.46
Step by Step Solution
- Step 1: Write the proportion equation
301.44 : 416 = 177.14 : x - Step 2: Convert to fraction form
301.44/416 = 177.14/x - Step 3: Cross multiply
301.44x = 416 × 177.14 - Step 4: Simplify right side
301.44x = 73,690.24 - Step 5: Solve for x
x = 73,690.24/301.44 - Step 6: Final answer
x = 244.46
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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.