Finding the Fourth Proportional to 542.84, 813.61 and 195.99
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Solution
The fourth proportional to 542.84, 813.61 and 195.99 is: 293.75
Step by Step Solution
- Step 1: Write the proportion equation
542.84 : 813.61 = 195.99 : x - Step 2: Convert to fraction form
542.84/813.61 = 195.99/x - Step 3: Cross multiply
542.84x = 813.61 × 195.99 - Step 4: Simplify right side
542.84x = 159,456.62 - Step 5: Solve for x
x = 159,456.62/542.84 - Step 6: Final answer
x = 293.75
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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.