Finding the Fourth Proportional to 289.99, 400.08 and 202.78
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Solution
The fourth proportional to 289.99, 400.08 and 202.78 is: 279.76
Step by Step Solution
- Step 1: Write the proportion equation
289.99 : 400.08 = 202.78 : x - Step 2: Convert to fraction form
289.99/400.08 = 202.78/x - Step 3: Cross multiply
289.99x = 400.08 × 202.78 - Step 4: Simplify right side
289.99x = 81,128.22 - Step 5: Solve for x
x = 81,128.22/289.99 - Step 6: Final answer
x = 279.76
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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.