Finding the Fourth Proportional to 230.22, 317.93 and 197.28
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Solution
The fourth proportional to 230.22, 317.93 and 197.28 is: 272.44
Step by Step Solution
- Step 1: Write the proportion equation
230.22 : 317.93 = 197.28 : x - Step 2: Convert to fraction form
230.22/317.93 = 197.28/x - Step 3: Cross multiply
230.22x = 317.93 × 197.28 - Step 4: Simplify right side
230.22x = 62,720.24 - Step 5: Solve for x
x = 62,720.24/230.22 - Step 6: Final answer
x = 272.44
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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.