Finding the Fourth Proportional to 214.74, 296.14 and 161.55
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Solution
The fourth proportional to 214.74, 296.14 and 161.55 is: 222.79
Step by Step Solution
- Step 1: Write the proportion equation
214.74 : 296.14 = 161.55 : x - Step 2: Convert to fraction form
214.74/296.14 = 161.55/x - Step 3: Cross multiply
214.74x = 296.14 × 161.55 - Step 4: Simplify right side
214.74x = 47,841.42 - Step 5: Solve for x
x = 47,841.42/214.74 - Step 6: Final answer
x = 222.79
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.