Finding the Fourth Proportional to 221.84, 332.63 and 119.09
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Solution
The fourth proportional to 221.84, 332.63 and 119.09 is: 178.57
Step by Step Solution
- Step 1: Write the proportion equation
221.84 : 332.63 = 119.09 : x - Step 2: Convert to fraction form
221.84/332.63 = 119.09/x - Step 3: Cross multiply
221.84x = 332.63 × 119.09 - Step 4: Simplify right side
221.84x = 39,612.91 - Step 5: Solve for x
x = 39,612.91/221.84 - Step 6: Final answer
x = 178.57
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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.