Finding the Fourth Proportional to 205.95, 284.35 and 157.08
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Solution
The fourth proportional to 205.95, 284.35 and 157.08 is: 216.88
Step by Step Solution
- Step 1: Write the proportion equation
205.95 : 284.35 = 157.08 : x - Step 2: Convert to fraction form
205.95/284.35 = 157.08/x - Step 3: Cross multiply
205.95x = 284.35 × 157.08 - Step 4: Simplify right side
205.95x = 44,665.70 - Step 5: Solve for x
x = 44,665.70/205.95 - Step 6: Final answer
x = 216.88
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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.