Finding the Fourth Proportional to 289.96, 400.14 and 157.18
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Solution
The fourth proportional to 289.96, 400.14 and 157.18 is: 216.90
Step by Step Solution
- Step 1: Write the proportion equation
289.96 : 400.14 = 157.18 : x - Step 2: Convert to fraction form
289.96/400.14 = 157.18/x - Step 3: Cross multiply
289.96x = 400.14 × 157.18 - Step 4: Simplify right side
289.96x = 62,893.41 - Step 5: Solve for x
x = 62,893.41/289.96 - Step 6: Final answer
x = 216.90
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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.