Finding the Fourth Proportional to 408.24, 563.91 and 283.70
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Solution
The fourth proportional to 408.24, 563.91 and 283.70 is: 391.89
Step by Step Solution
- Step 1: Write the proportion equation
408.24 : 563.91 = 283.70 : x - Step 2: Convert to fraction form
408.24/563.91 = 283.70/x - Step 3: Cross multiply
408.24x = 563.91 × 283.70 - Step 4: Simplify right side
408.24x = 159,983.21 - Step 5: Solve for x
x = 159,983.21/408.24 - Step 6: Final answer
x = 391.89
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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.