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Finding the Fourth Proportional to 544.40, 815.16 and 327.68

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Solution

The fourth proportional to 544.40, 815.16 and 327.68 is: 490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.40 : 815.16 = 327.68 : x
  2. Step 2: Convert to fraction form
    544.40/815.16 = 327.68/x
  3. Step 3: Cross multiply
    544.40x = 815.16 × 327.68
  4. Step 4: Simplify right side
    544.40x = 267,111.63
  5. Step 5: Solve for x
    x = 267,111.63/544.40
  6. Step 6: Final answer
    x = 490.65

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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.