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Finding the Fourth Proportional to 323.40, 483.84 and 261.20

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Solution

The fourth proportional to 323.40, 483.84 and 261.20 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.40 : 483.84 = 261.20 : x
  2. Step 2: Convert to fraction form
    323.40/483.84 = 261.20/x
  3. Step 3: Cross multiply
    323.40x = 483.84 × 261.20
  4. Step 4: Simplify right side
    323.40x = 126,379.01
  5. Step 5: Solve for x
    x = 126,379.01/323.40
  6. Step 6: Final answer
    x = 390.78

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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.