Finding the Fourth Proportional to 294.92, 442.08 and 140.74
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Solution
The fourth proportional to 294.92, 442.08 and 140.74 is: 210.96
Step by Step Solution
- Step 1: Write the proportion equation
294.92 : 442.08 = 140.74 : x - Step 2: Convert to fraction form
294.92/442.08 = 140.74/x - Step 3: Cross multiply
294.92x = 442.08 × 140.74 - Step 4: Simplify right side
294.92x = 62,217.23 - Step 5: Solve for x
x = 62,217.23/294.92 - Step 6: Final answer
x = 210.96
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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.