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Finding the Fourth Proportional to 383.52, 575.28 and 262.80

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Solution

The fourth proportional to 383.52, 575.28 and 262.80 is: 394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.52 : 575.28 = 262.80 : x
  2. Step 2: Convert to fraction form
    383.52/575.28 = 262.80/x
  3. Step 3: Cross multiply
    383.52x = 575.28 × 262.80
  4. Step 4: Simplify right side
    383.52x = 151,183.58
  5. Step 5: Solve for x
    x = 151,183.58/383.52
  6. Step 6: Final answer
    x = 394.20

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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.