Finding the Fourth Proportional to 289.19, 433.77 and 106.58
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Solution
The fourth proportional to 289.19, 433.77 and 106.58 is: 159.86
Step by Step Solution
- Step 1: Write the proportion equation
289.19 : 433.77 = 106.58 : x - Step 2: Convert to fraction form
289.19/433.77 = 106.58/x - Step 3: Cross multiply
289.19x = 433.77 × 106.58 - Step 4: Simplify right side
289.19x = 46,231.21 - Step 5: Solve for x
x = 46,231.21/289.19 - Step 6: Final answer
x = 159.86
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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.