Finding the Fourth Proportional to 412.62, 569.36 and 226.08
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Solution
The fourth proportional to 412.62, 569.36 and 226.08 is: 311.96
Step by Step Solution
- Step 1: Write the proportion equation
412.62 : 569.36 = 226.08 : x - Step 2: Convert to fraction form
412.62/569.36 = 226.08/x - Step 3: Cross multiply
412.62x = 569.36 × 226.08 - Step 4: Simplify right side
412.62x = 128,720.91 - Step 5: Solve for x
x = 128,720.91/412.62 - Step 6: Final answer
x = 311.96
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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.