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Finding the Fourth Proportional to 483.92, 667.81 and 262.86

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Solution

The fourth proportional to 483.92, 667.81 and 262.86 is: 362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.92 : 667.81 = 262.86 : x
  2. Step 2: Convert to fraction form
    483.92/667.81 = 262.86/x
  3. Step 3: Cross multiply
    483.92x = 667.81 × 262.86
  4. Step 4: Simplify right side
    483.92x = 175,542.12
  5. Step 5: Solve for x
    x = 175,542.12/483.92
  6. Step 6: Final answer
    x = 362.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.