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Finding the Fourth Proportional to 393.48, 544.32 and 327.78

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Solution

The fourth proportional to 393.48, 544.32 and 327.78 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.48 : 544.32 = 327.78 : x
  2. Step 2: Convert to fraction form
    393.48/544.32 = 327.78/x
  3. Step 3: Cross multiply
    393.48x = 544.32 × 327.78
  4. Step 4: Simplify right side
    393.48x = 178,417.21
  5. Step 5: Solve for x
    x = 178,417.21/393.48
  6. Step 6: Final answer
    x = 453.43

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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.