Finding the Fourth Proportional to 214.72, 319.92 and 200
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Solution
The fourth proportional to 214.72, 319.92 and 200 is: 297.99
Step by Step Solution
- Step 1: Write the proportion equation
214.72 : 319.92 = 200 : x - Step 2: Convert to fraction form
214.72/319.92 = 200/x - Step 3: Cross multiply
214.72x = 319.92 × 200 - Step 4: Simplify right side
214.72x = 63,984 - Step 5: Solve for x
x = 63,984/214.72 - Step 6: Final answer
x = 297.99
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.