Finding the Fourth Proportional to 409.08, 613.74 and 178.02
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Solution
The fourth proportional to 409.08, 613.74 and 178.02 is: 267.08
Step by Step Solution
- Step 1: Write the proportion equation
409.08 : 613.74 = 178.02 : x - Step 2: Convert to fraction form
409.08/613.74 = 178.02/x - Step 3: Cross multiply
409.08x = 613.74 × 178.02 - Step 4: Simplify right side
409.08x = 109,257.99 - Step 5: Solve for x
x = 109,257.99/409.08 - Step 6: Final answer
x = 267.08
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.