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Finding the Fourth Proportional to 325.89, 491.13 and 272.30

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Solution

The fourth proportional to 325.89, 491.13 and 272.30 is: 410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.89 : 491.13 = 272.30 : x
  2. Step 2: Convert to fraction form
    325.89/491.13 = 272.30/x
  3. Step 3: Cross multiply
    325.89x = 491.13 × 272.30
  4. Step 4: Simplify right side
    325.89x = 133,732.24
  5. Step 5: Solve for x
    x = 133,732.24/325.89
  6. Step 6: Final answer
    x = 410.36

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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.