Finding the Fourth Proportional to 382.23, 572.95 and 176.63
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Solution
The fourth proportional to 382.23, 572.95 and 176.63 is: 264.77
Step by Step Solution
- Step 1: Write the proportion equation
382.23 : 572.95 = 176.63 : x - Step 2: Convert to fraction form
382.23/572.95 = 176.63/x - Step 3: Cross multiply
382.23x = 572.95 × 176.63 - Step 4: Simplify right side
382.23x = 101,202.60 - Step 5: Solve for x
x = 101,202.60/382.23 - Step 6: Final answer
x = 264.77
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.