Finding the Fourth Proportional to 320.64, 442.08 and 232.08
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Solution
The fourth proportional to 320.64, 442.08 and 232.08 is: 319.98
Step by Step Solution
- Step 1: Write the proportion equation
320.64 : 442.08 = 232.08 : x - Step 2: Convert to fraction form
320.64/442.08 = 232.08/x - Step 3: Cross multiply
320.64x = 442.08 × 232.08 - Step 4: Simplify right side
320.64x = 102,597.93 - Step 5: Solve for x
x = 102,597.93/320.64 - Step 6: Final answer
x = 319.98
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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.