Finding the Fourth Proportional to 490, 735 and 148
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Solution
The fourth proportional to 490, 735 and 148 is: 222
Step by Step Solution
- Step 1: Write the proportion equation
490 : 735 = 148 : x - Step 2: Convert to fraction form
490/735 = 148/x - Step 3: Cross multiply
490x = 735 × 148 - Step 4: Simplify right side
490x = 108,780 - Step 5: Solve for x
x = 108,780/490 - Step 6: Final answer
x = 222
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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.