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Finding the Fourth Proportional to 331.22, 493.58 and 311.73

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Solution

The fourth proportional to 331.22, 493.58 and 311.73 is: 464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.22 : 493.58 = 311.73 : x
  2. Step 2: Convert to fraction form
    331.22/493.58 = 311.73/x
  3. Step 3: Cross multiply
    331.22x = 493.58 × 311.73
  4. Step 4: Simplify right side
    331.22x = 153,862.13
  5. Step 5: Solve for x
    x = 153,862.13/331.22
  6. Step 6: Final answer
    x = 464.54

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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.