Finding the Fourth Proportional to 283.44, 424.80 and 161.79
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Solution
The fourth proportional to 283.44, 424.80 and 161.79 is: 242.48
Step by Step Solution
- Step 1: Write the proportion equation
283.44 : 424.80 = 161.79 : x - Step 2: Convert to fraction form
283.44/424.80 = 161.79/x - Step 3: Cross multiply
283.44x = 424.80 × 161.79 - Step 4: Simplify right side
283.44x = 68,728.39 - Step 5: Solve for x
x = 68,728.39/283.44 - Step 6: Final answer
x = 242.48
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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.