Finding the Fourth Proportional to 510.48, 765.86 and 198.04
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Solution
The fourth proportional to 510.48, 765.86 and 198.04 is: 297.11
Step by Step Solution
- Step 1: Write the proportion equation
510.48 : 765.86 = 198.04 : x - Step 2: Convert to fraction form
510.48/765.86 = 198.04/x - Step 3: Cross multiply
510.48x = 765.86 × 198.04 - Step 4: Simplify right side
510.48x = 151,668.01 - Step 5: Solve for x
x = 151,668.01/510.48 - Step 6: Final answer
x = 297.11
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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.