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Finding the Fourth Proportional to 383.92, 576 and 262.72

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Solution

The fourth proportional to 383.92, 576 and 262.72 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 576 = 262.72 : x
  2. Step 2: Convert to fraction form
    383.92/576 = 262.72/x
  3. Step 3: Cross multiply
    383.92x = 576 × 262.72
  4. Step 4: Simplify right side
    383.92x = 151,326.72
  5. Step 5: Solve for x
    x = 151,326.72/383.92
  6. Step 6: Final answer
    x = 394.16

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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.