Finding the Fourth Proportional to 288.68, 432.99 and 149.84
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Solution
The fourth proportional to 288.68, 432.99 and 149.84 is: 224.75
Step by Step Solution
- Step 1: Write the proportion equation
288.68 : 432.99 = 149.84 : x - Step 2: Convert to fraction form
288.68/432.99 = 149.84/x - Step 3: Cross multiply
288.68x = 432.99 × 149.84 - Step 4: Simplify right side
288.68x = 64,881.12 - Step 5: Solve for x
x = 64,881.12/288.68 - Step 6: Final answer
x = 224.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.