Finding the Fourth Proportional to 283.14, 424.44 and 161.64
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Solution
The fourth proportional to 283.14, 424.44 and 161.64 is: 242.31
Step by Step Solution
- Step 1: Write the proportion equation
283.14 : 424.44 = 161.64 : x - Step 2: Convert to fraction form
283.14/424.44 = 161.64/x - Step 3: Cross multiply
283.14x = 424.44 × 161.64 - Step 4: Simplify right side
283.14x = 68,606.48 - Step 5: Solve for x
x = 68,606.48/283.14 - Step 6: Final answer
x = 242.31
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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.