Finding the Fourth Proportional to 214.24, 320.84 and 122.66
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Solution
The fourth proportional to 214.24, 320.84 and 122.66 is: 183.69
Step by Step Solution
- Step 1: Write the proportion equation
214.24 : 320.84 = 122.66 : x - Step 2: Convert to fraction form
214.24/320.84 = 122.66/x - Step 3: Cross multiply
214.24x = 320.84 × 122.66 - Step 4: Simplify right side
214.24x = 39,354.23 - Step 5: Solve for x
x = 39,354.23/214.24 - Step 6: Final answer
x = 183.69
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.