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Finding the Fourth Proportional to 327.45, 450.48 and 318.34

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Solution

The fourth proportional to 327.45, 450.48 and 318.34 is: 437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.45 : 450.48 = 318.34 : x
  2. Step 2: Convert to fraction form
    327.45/450.48 = 318.34/x
  3. Step 3: Cross multiply
    327.45x = 450.48 × 318.34
  4. Step 4: Simplify right side
    327.45x = 143,404.68
  5. Step 5: Solve for x
    x = 143,404.68/327.45
  6. Step 6: Final answer
    x = 437.94

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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.