Finding the Fourth Proportional to 288.24, 431.99 and 105.42
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Solution
The fourth proportional to 288.24, 431.99 and 105.42 is: 157.99
Step by Step Solution
- Step 1: Write the proportion equation
288.24 : 431.99 = 105.42 : x - Step 2: Convert to fraction form
288.24/431.99 = 105.42/x - Step 3: Cross multiply
288.24x = 431.99 × 105.42 - Step 4: Simplify right side
288.24x = 45,540.11 - Step 5: Solve for x
x = 45,540.11/288.24 - Step 6: Final answer
x = 157.99
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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.