Finding the Fourth Proportional to 310.19, 465.09 and 147.84
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Solution
The fourth proportional to 310.19, 465.09 and 147.84 is: 221.67
Step by Step Solution
- Step 1: Write the proportion equation
310.19 : 465.09 = 147.84 : x - Step 2: Convert to fraction form
310.19/465.09 = 147.84/x - Step 3: Cross multiply
310.19x = 465.09 × 147.84 - Step 4: Simplify right side
310.19x = 68,758.91 - Step 5: Solve for x
x = 68,758.91/310.19 - Step 6: Final answer
x = 221.67
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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.