Finding the Fourth Proportional to 230.09, 345.14 and 76.01
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Solution
The fourth proportional to 230.09, 345.14 and 76.01 is: 114.01
Step by Step Solution
- Step 1: Write the proportion equation
230.09 : 345.14 = 76.01 : x - Step 2: Convert to fraction form
230.09/345.14 = 76.01/x - Step 3: Cross multiply
230.09x = 345.14 × 76.01 - Step 4: Simplify right side
230.09x = 26,231.99 - Step 5: Solve for x
x = 26,231.99/230.09 - Step 6: Final answer
x = 114.01
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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.