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Finding the Fourth Proportional to 327.57, 454.14 and 310.92

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Solution

The fourth proportional to 327.57, 454.14 and 310.92 is: 431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 454.14 = 310.92 : x
  2. Step 2: Convert to fraction form
    327.57/454.14 = 310.92/x
  3. Step 3: Cross multiply
    327.57x = 454.14 × 310.92
  4. Step 4: Simplify right side
    327.57x = 141,201.21
  5. Step 5: Solve for x
    x = 141,201.21/327.57
  6. Step 6: Final answer
    x = 431.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.