Finding the Fourth Proportional to 230.26, 345.36 and 157.06
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Solution
The fourth proportional to 230.26, 345.36 and 157.06 is: 235.57
Step by Step Solution
- Step 1: Write the proportion equation
230.26 : 345.36 = 157.06 : x - Step 2: Convert to fraction form
230.26/345.36 = 157.06/x - Step 3: Cross multiply
230.26x = 345.36 × 157.06 - Step 4: Simplify right side
230.26x = 54,242.24 - Step 5: Solve for x
x = 54,242.24/230.26 - Step 6: Final answer
x = 235.57
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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.