Finding the Fourth Proportional to 473.94, 711 and 149.28
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Solution
The fourth proportional to 473.94, 711 and 149.28 is: 223.95
Step by Step Solution
- Step 1: Write the proportion equation
473.94 : 711 = 149.28 : x - Step 2: Convert to fraction form
473.94/711 = 149.28/x - Step 3: Cross multiply
473.94x = 711 × 149.28 - Step 4: Simplify right side
473.94x = 106,138.08 - Step 5: Solve for x
x = 106,138.08/473.94 - Step 6: Final answer
x = 223.95
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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.