Finding the Fourth Proportional to 197.23, 272.08 and 135.06
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Solution
The fourth proportional to 197.23, 272.08 and 135.06 is: 186.32
Step by Step Solution
- Step 1: Write the proportion equation
197.23 : 272.08 = 135.06 : x - Step 2: Convert to fraction form
197.23/272.08 = 135.06/x - Step 3: Cross multiply
197.23x = 272.08 × 135.06 - Step 4: Simplify right side
197.23x = 36,747.12 - Step 5: Solve for x
x = 36,747.12/197.23 - Step 6: Final answer
x = 186.32
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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.