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Finding the Fourth Proportional to 327.00, 490.75 and 288.55

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Solution

The fourth proportional to 327.00, 490.75 and 288.55 is: 433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.00 : 490.75 = 288.55 : x
  2. Step 2: Convert to fraction form
    327.00/490.75 = 288.55/x
  3. Step 3: Cross multiply
    327.00x = 490.75 × 288.55
  4. Step 4: Simplify right side
    327.00x = 141,608.00
  5. Step 5: Solve for x
    x = 141,608.00/327.00
  6. Step 6: Final answer
    x = 433.06

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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.