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Finding the Fourth Proportional to 332.12, 494.43 and 327.56

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Solution

The fourth proportional to 332.12, 494.43 and 327.56 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.12 : 494.43 = 327.56 : x
  2. Step 2: Convert to fraction form
    332.12/494.43 = 327.56/x
  3. Step 3: Cross multiply
    332.12x = 494.43 × 327.56
  4. Step 4: Simplify right side
    332.12x = 161,955.49
  5. Step 5: Solve for x
    x = 161,955.49/332.12
  6. Step 6: Final answer
    x = 487.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.