Finding the Fourth Proportional to 409.10, 564.93 and 261.99
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Solution
The fourth proportional to 409.10, 564.93 and 261.99 is: 361.78
Step by Step Solution
- Step 1: Write the proportion equation
409.10 : 564.93 = 261.99 : x - Step 2: Convert to fraction form
409.10/564.93 = 261.99/x - Step 3: Cross multiply
409.10x = 564.93 × 261.99 - Step 4: Simplify right side
409.10x = 148,006.01 - Step 5: Solve for x
x = 148,006.01/409.10 - Step 6: Final answer
x = 361.78
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.