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Finding the Fourth Proportional to 331.06, 492.31 and 320.80

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Solution

The fourth proportional to 331.06, 492.31 and 320.80 is: 477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.06 : 492.31 = 320.80 : x
  2. Step 2: Convert to fraction form
    331.06/492.31 = 320.80/x
  3. Step 3: Cross multiply
    331.06x = 492.31 × 320.80
  4. Step 4: Simplify right side
    331.06x = 157,933.05
  5. Step 5: Solve for x
    x = 157,933.05/331.06
  6. Step 6: Final answer
    x = 477.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.