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Finding the Fourth Proportional to 326.34, 491.44 and 272.01

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Solution

The fourth proportional to 326.34, 491.44 and 272.01 is: 409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.34 : 491.44 = 272.01 : x
  2. Step 2: Convert to fraction form
    326.34/491.44 = 272.01/x
  3. Step 3: Cross multiply
    326.34x = 491.44 × 272.01
  4. Step 4: Simplify right side
    326.34x = 133,676.59
  5. Step 5: Solve for x
    x = 133,676.59/326.34
  6. Step 6: Final answer
    x = 409.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.