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Finding the Fourth Proportional to 326.81, 449.91 and 253.01

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Solution

The fourth proportional to 326.81, 449.91 and 253.01 is: 348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.81 : 449.91 = 253.01 : x
  2. Step 2: Convert to fraction form
    326.81/449.91 = 253.01/x
  3. Step 3: Cross multiply
    326.81x = 449.91 × 253.01
  4. Step 4: Simplify right side
    326.81x = 113,829.48
  5. Step 5: Solve for x
    x = 113,829.48/326.81
  6. Step 6: Final answer
    x = 348.31

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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.