Finding the Fourth Proportional to 206.13, 284.18 and 156.99
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Solution
The fourth proportional to 206.13, 284.18 and 156.99 is: 216.43
Step by Step Solution
- Step 1: Write the proportion equation
206.13 : 284.18 = 156.99 : x - Step 2: Convert to fraction form
206.13/284.18 = 156.99/x - Step 3: Cross multiply
206.13x = 284.18 × 156.99 - Step 4: Simplify right side
206.13x = 44,612.63 - Step 5: Solve for x
x = 44,612.63/206.13 - Step 6: Final answer
x = 216.43
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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.