Finding the Fourth Proportional to 207.54, 310.91 and 178.65
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Solution
The fourth proportional to 207.54, 310.91 and 178.65 is: 267.63
Step by Step Solution
- Step 1: Write the proportion equation
207.54 : 310.91 = 178.65 : x - Step 2: Convert to fraction form
207.54/310.91 = 178.65/x - Step 3: Cross multiply
207.54x = 310.91 × 178.65 - Step 4: Simplify right side
207.54x = 55,543.18 - Step 5: Solve for x
x = 55,543.18/207.54 - Step 6: Final answer
x = 267.63
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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.