Finding the Fourth Proportional to 289.62, 400.11 and 202.14
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Solution
The fourth proportional to 289.62, 400.11 and 202.14 is: 279.26
Step by Step Solution
- Step 1: Write the proportion equation
289.62 : 400.11 = 202.14 : x - Step 2: Convert to fraction form
289.62/400.11 = 202.14/x - Step 3: Cross multiply
289.62x = 400.11 × 202.14 - Step 4: Simplify right side
289.62x = 80,878.24 - Step 5: Solve for x
x = 80,878.24/289.62 - Step 6: Final answer
x = 279.26
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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.