Finding the Fourth Proportional to 397.44, 596.14 and 214.92
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Solution
The fourth proportional to 397.44, 596.14 and 214.92 is: 322.37
Step by Step Solution
- Step 1: Write the proportion equation
397.44 : 596.14 = 214.92 : x - Step 2: Convert to fraction form
397.44/596.14 = 214.92/x - Step 3: Cross multiply
397.44x = 596.14 × 214.92 - Step 4: Simplify right side
397.44x = 128,122.41 - Step 5: Solve for x
x = 128,122.41/397.44 - Step 6: Final answer
x = 322.37
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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.