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Finding the Fourth Proportional to 381, 570.61 and 323.02

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Solution

The fourth proportional to 381, 570.61 and 323.02 is: 483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 570.61 = 323.02 : x
  2. Step 2: Convert to fraction form
    381/570.61 = 323.02/x
  3. Step 3: Cross multiply
    381x = 570.61 × 323.02
  4. Step 4: Simplify right side
    381x = 184,313.97
  5. Step 5: Solve for x
    x = 184,313.97/381
  6. Step 6: Final answer
    x = 483.76

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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.