Finding the Fourth Proportional to 204.69, 306.96 and 74.66
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Solution
The fourth proportional to 204.69, 306.96 and 74.66 is: 111.95
Step by Step Solution
- Step 1: Write the proportion equation
204.69 : 306.96 = 74.66 : x - Step 2: Convert to fraction form
204.69/306.96 = 74.66/x - Step 3: Cross multiply
204.69x = 306.96 × 74.66 - Step 4: Simplify right side
204.69x = 22,916.24 - Step 5: Solve for x
x = 22,916.24/204.69 - Step 6: Final answer
x = 111.95
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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.