Finding the Fourth Proportional to 340.92, 511.08 and 178.74
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Solution
The fourth proportional to 340.92, 511.08 and 178.74 is: 267.95
Step by Step Solution
- Step 1: Write the proportion equation
340.92 : 511.08 = 178.74 : x - Step 2: Convert to fraction form
340.92/511.08 = 178.74/x - Step 3: Cross multiply
340.92x = 511.08 × 178.74 - Step 4: Simplify right side
340.92x = 91,350.44 - Step 5: Solve for x
x = 91,350.44/340.92 - Step 6: Final answer
x = 267.95
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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.