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Finding the Fourth Proportional to 383.18, 576.12 and 262.28

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Solution

The fourth proportional to 383.18, 576.12 and 262.28 is: 394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.18 : 576.12 = 262.28 : x
  2. Step 2: Convert to fraction form
    383.18/576.12 = 262.28/x
  3. Step 3: Cross multiply
    383.18x = 576.12 × 262.28
  4. Step 4: Simplify right side
    383.18x = 151,104.75
  5. Step 5: Solve for x
    x = 151,104.75/383.18
  6. Step 6: Final answer
    x = 394.34

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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.