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Finding the Fourth Proportional to 544.32, 815.16 and 327.42

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Solution

The fourth proportional to 544.32, 815.16 and 327.42 is: 490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.32 : 815.16 = 327.42 : x
  2. Step 2: Convert to fraction form
    544.32/815.16 = 327.42/x
  3. Step 3: Cross multiply
    544.32x = 815.16 × 327.42
  4. Step 4: Simplify right side
    544.32x = 266,899.69
  5. Step 5: Solve for x
    x = 266,899.69/544.32
  6. Step 6: Final answer
    x = 490.34

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1.5x scale

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.