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Finding the Fourth Proportional to 327.13, 449.91 and 285.72

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Solution

The fourth proportional to 327.13, 449.91 and 285.72 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.13 : 449.91 = 285.72 : x
  2. Step 2: Convert to fraction form
    327.13/449.91 = 285.72/x
  3. Step 3: Cross multiply
    327.13x = 449.91 × 285.72
  4. Step 4: Simplify right side
    327.13x = 128,548.29
  5. Step 5: Solve for x
    x = 128,548.29/327.13
  6. Step 6: Final answer
    x = 392.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.