Finding the Fourth Proportional to 409.24, 613.88 and 177.96
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Solution
The fourth proportional to 409.24, 613.88 and 177.96 is: 266.95
Step by Step Solution
- Step 1: Write the proportion equation
409.24 : 613.88 = 177.96 : x - Step 2: Convert to fraction form
409.24/613.88 = 177.96/x - Step 3: Cross multiply
409.24x = 613.88 × 177.96 - Step 4: Simplify right side
409.24x = 109,246.08 - Step 5: Solve for x
x = 109,246.08/409.24 - Step 6: Final answer
x = 266.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.