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Finding the Fourth Proportional to 331.03, 456.83 and 200.01

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Solution

The fourth proportional to 331.03, 456.83 and 200.01 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.03 : 456.83 = 200.01 : x
  2. Step 2: Convert to fraction form
    331.03/456.83 = 200.01/x
  3. Step 3: Cross multiply
    331.03x = 456.83 × 200.01
  4. Step 4: Simplify right side
    331.03x = 91,372.03
  5. Step 5: Solve for x
    x = 91,372.03/331.03
  6. Step 6: Final answer
    x = 276.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.