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Finding the Fourth Proportional to 331.08, 491.08 and 326.22

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Solution

The fourth proportional to 331.08, 491.08 and 326.22 is: 483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 491.08 = 326.22 : x
  2. Step 2: Convert to fraction form
    331.08/491.08 = 326.22/x
  3. Step 3: Cross multiply
    331.08x = 491.08 × 326.22
  4. Step 4: Simplify right side
    331.08x = 160,200.12
  5. Step 5: Solve for x
    x = 160,200.12/331.08
  6. Step 6: Final answer
    x = 483.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.