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Finding the Fourth Proportional to 326.27, 449.63 and 256.16

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Solution

The fourth proportional to 326.27, 449.63 and 256.16 is: 353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.27 : 449.63 = 256.16 : x
  2. Step 2: Convert to fraction form
    326.27/449.63 = 256.16/x
  3. Step 3: Cross multiply
    326.27x = 449.63 × 256.16
  4. Step 4: Simplify right side
    326.27x = 115,174.97
  5. Step 5: Solve for x
    x = 115,174.97/326.27
  6. Step 6: Final answer
    x = 353.01

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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.