Finding the Fourth Proportional to 205.16, 283.14 and 150.08
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Solution
The fourth proportional to 205.16, 283.14 and 150.08 is: 207.12
Step by Step Solution
- Step 1: Write the proportion equation
205.16 : 283.14 = 150.08 : x - Step 2: Convert to fraction form
205.16/283.14 = 150.08/x - Step 3: Cross multiply
205.16x = 283.14 × 150.08 - Step 4: Simplify right side
205.16x = 42,492.24 - Step 5: Solve for x
x = 42,492.24/205.16 - Step 6: Final answer
x = 207.12
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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.