Finding the Fourth Proportional to 430.78, 645.99 and 170.77
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Solution
The fourth proportional to 430.78, 645.99 and 170.77 is: 256.08
Step by Step Solution
- Step 1: Write the proportion equation
430.78 : 645.99 = 170.77 : x - Step 2: Convert to fraction form
430.78/645.99 = 170.77/x - Step 3: Cross multiply
430.78x = 645.99 × 170.77 - Step 4: Simplify right side
430.78x = 110,315.71 - Step 5: Solve for x
x = 110,315.71/430.78 - Step 6: Final answer
x = 256.08
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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.