Finding the Fourth Proportional to 304.14, 419.78 and 187.62
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Solution
The fourth proportional to 304.14, 419.78 and 187.62 is: 258.96
Step by Step Solution
- Step 1: Write the proportion equation
304.14 : 419.78 = 187.62 : x - Step 2: Convert to fraction form
304.14/419.78 = 187.62/x - Step 3: Cross multiply
304.14x = 419.78 × 187.62 - Step 4: Simplify right side
304.14x = 78,759.12 - Step 5: Solve for x
x = 78,759.12/304.14 - Step 6: Final answer
x = 258.96
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.