Finding the Fourth Proportional to 189.95, 284.92 and 104.99
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Solution
The fourth proportional to 189.95, 284.92 and 104.99 is: 157.48
Step by Step Solution
- Step 1: Write the proportion equation
189.95 : 284.92 = 104.99 : x - Step 2: Convert to fraction form
189.95/284.92 = 104.99/x - Step 3: Cross multiply
189.95x = 284.92 × 104.99 - Step 4: Simplify right side
189.95x = 29,913.75 - Step 5: Solve for x
x = 29,913.75/189.95 - Step 6: Final answer
x = 157.48
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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.