Finding the Fourth Proportional to 214.23, 295.73 and 135.54
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Solution
The fourth proportional to 214.23, 295.73 and 135.54 is: 187.11
Step by Step Solution
- Step 1: Write the proportion equation
214.23 : 295.73 = 135.54 : x - Step 2: Convert to fraction form
214.23/295.73 = 135.54/x - Step 3: Cross multiply
214.23x = 295.73 × 135.54 - Step 4: Simplify right side
214.23x = 40,084.08 - Step 5: Solve for x
x = 40,084.08/214.23 - Step 6: Final answer
x = 187.11
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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.