Finding the Fourth Proportional to 313.80, 432.99 and 195.78
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Solution
The fourth proportional to 313.80, 432.99 and 195.78 is: 270.14
Step by Step Solution
- Step 1: Write the proportion equation
313.80 : 432.99 = 195.78 : x - Step 2: Convert to fraction form
313.80/432.99 = 195.78/x - Step 3: Cross multiply
313.80x = 432.99 × 195.78 - Step 4: Simplify right side
313.80x = 84,770.78 - Step 5: Solve for x
x = 84,770.78/313.80 - Step 6: Final answer
x = 270.14
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.