Finding the Fourth Proportional to 409.20, 564.48 and 331.44
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Solution
The fourth proportional to 409.20, 564.48 and 331.44 is: 457.21
Step by Step Solution
- Step 1: Write the proportion equation
409.20 : 564.48 = 331.44 : x - Step 2: Convert to fraction form
409.20/564.48 = 331.44/x - Step 3: Cross multiply
409.20x = 564.48 × 331.44 - Step 4: Simplify right side
409.20x = 187,091.25 - Step 5: Solve for x
x = 187,091.25/409.20 - Step 6: Final answer
x = 457.21
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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.