Finding the Fourth Proportional to 214.60, 295.92 and 149.14
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Solution
The fourth proportional to 214.60, 295.92 and 149.14 is: 205.65
Step by Step Solution
- Step 1: Write the proportion equation
214.60 : 295.92 = 149.14 : x - Step 2: Convert to fraction form
214.60/295.92 = 149.14/x - Step 3: Cross multiply
214.60x = 295.92 × 149.14 - Step 4: Simplify right side
214.60x = 44,133.51 - Step 5: Solve for x
x = 44,133.51/214.60 - Step 6: Final answer
x = 205.65
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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.