Finding the Fourth Proportional to 305.75, 458.58 and 110.75
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Solution
The fourth proportional to 305.75, 458.58 and 110.75 is: 166.11
Step by Step Solution
- Step 1: Write the proportion equation
305.75 : 458.58 = 110.75 : x - Step 2: Convert to fraction form
305.75/458.58 = 110.75/x - Step 3: Cross multiply
305.75x = 458.58 × 110.75 - Step 4: Simplify right side
305.75x = 50,787.74 - Step 5: Solve for x
x = 50,787.74/305.75 - Step 6: Final answer
x = 166.11
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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.