Finding the Fourth Proportional to 204.67, 306.95 and 117.99
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Solution
The fourth proportional to 204.67, 306.95 and 117.99 is: 176.95
Step by Step Solution
- Step 1: Write the proportion equation
204.67 : 306.95 = 117.99 : x - Step 2: Convert to fraction form
204.67/306.95 = 117.99/x - Step 3: Cross multiply
204.67x = 306.95 × 117.99 - Step 4: Simplify right side
204.67x = 36,216.44 - Step 5: Solve for x
x = 36,216.44/204.67 - Step 6: Final answer
x = 176.95
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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.