Finding the Fourth Proportional to 409.36, 564.97 and 252.02
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Solution
The fourth proportional to 409.36, 564.97 and 252.02 is: 347.82
Step by Step Solution
- Step 1: Write the proportion equation
409.36 : 564.97 = 252.02 : x - Step 2: Convert to fraction form
409.36/564.97 = 252.02/x - Step 3: Cross multiply
409.36x = 564.97 × 252.02 - Step 4: Simplify right side
409.36x = 142,383.74 - Step 5: Solve for x
x = 142,383.74/409.36 - Step 6: Final answer
x = 347.82
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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.