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Finding the Fourth Proportional to 331.28, 493.37 and 311.28

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Solution

The fourth proportional to 331.28, 493.37 and 311.28 is: 463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.28 : 493.37 = 311.28 : x
  2. Step 2: Convert to fraction form
    331.28/493.37 = 311.28/x
  3. Step 3: Cross multiply
    331.28x = 493.37 × 311.28
  4. Step 4: Simplify right side
    331.28x = 153,576.21
  5. Step 5: Solve for x
    x = 153,576.21/331.28
  6. Step 6: Final answer
    x = 463.58

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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.