Finding the Fourth Proportional to 306.23, 458.81 and 214.75
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Solution
The fourth proportional to 306.23, 458.81 and 214.75 is: 321.74
Step by Step Solution
- Step 1: Write the proportion equation
306.23 : 458.81 = 214.75 : x - Step 2: Convert to fraction form
306.23/458.81 = 214.75/x - Step 3: Cross multiply
306.23x = 458.81 × 214.75 - Step 4: Simplify right side
306.23x = 98,526.08 - Step 5: Solve for x
x = 98,526.08/306.23 - Step 6: Final answer
x = 321.74
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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.