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Finding the Fourth Proportional to 327.16, 490.29 and 235.45

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Solution

The fourth proportional to 327.16, 490.29 and 235.45 is: 352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 490.29 = 235.45 : x
  2. Step 2: Convert to fraction form
    327.16/490.29 = 235.45/x
  3. Step 3: Cross multiply
    327.16x = 490.29 × 235.45
  4. Step 4: Simplify right side
    327.16x = 115,438.78
  5. Step 5: Solve for x
    x = 115,438.78/327.16
  6. Step 6: Final answer
    x = 352.85

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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.