Finding the Fourth Proportional to 455.84, 684.08 and 228
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Solution
The fourth proportional to 455.84, 684.08 and 228 is: 342.16
Step by Step Solution
- Step 1: Write the proportion equation
455.84 : 684.08 = 228 : x - Step 2: Convert to fraction form
455.84/684.08 = 228/x - Step 3: Cross multiply
455.84x = 684.08 × 228 - Step 4: Simplify right side
455.84x = 155,970.24 - Step 5: Solve for x
x = 155,970.24/455.84 - Step 6: Final answer
x = 342.16
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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.