Finding the Fourth Proportional to 409.04, 564.29 and 284.99
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Solution
The fourth proportional to 409.04, 564.29 and 284.99 is: 393.15
Step by Step Solution
- Step 1: Write the proportion equation
409.04 : 564.29 = 284.99 : x - Step 2: Convert to fraction form
409.04/564.29 = 284.99/x - Step 3: Cross multiply
409.04x = 564.29 × 284.99 - Step 4: Simplify right side
409.04x = 160,812.76 - Step 5: Solve for x
x = 160,812.76/409.04 - Step 6: Final answer
x = 393.15
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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.