Finding the Fourth Proportional to 299.29, 412.93 and 201.08
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Solution
The fourth proportional to 299.29, 412.93 and 201.08 is: 277.43
Step by Step Solution
- Step 1: Write the proportion equation
299.29 : 412.93 = 201.08 : x - Step 2: Convert to fraction form
299.29/412.93 = 201.08/x - Step 3: Cross multiply
299.29x = 412.93 × 201.08 - Step 4: Simplify right side
299.29x = 83,031.96 - Step 5: Solve for x
x = 83,031.96/299.29 - Step 6: Final answer
x = 277.43
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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.