Finding the Fourth Proportional to 409.24, 564.68 and 261.92
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Solution
The fourth proportional to 409.24, 564.68 and 261.92 is: 361.40
Step by Step Solution
- Step 1: Write the proportion equation
409.24 : 564.68 = 261.92 : x - Step 2: Convert to fraction form
409.24/564.68 = 261.92/x - Step 3: Cross multiply
409.24x = 564.68 × 261.92 - Step 4: Simplify right side
409.24x = 147,900.99 - Step 5: Solve for x
x = 147,900.99/409.24 - Step 6: Final answer
x = 361.40
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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.