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Finding the Fourth Proportional to 331.00, 456.57 and 213.12

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Solution

The fourth proportional to 331.00, 456.57 and 213.12 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.00 : 456.57 = 213.12 : x
  2. Step 2: Convert to fraction form
    331.00/456.57 = 213.12/x
  3. Step 3: Cross multiply
    331.00x = 456.57 × 213.12
  4. Step 4: Simplify right side
    331.00x = 97,305.38
  5. Step 5: Solve for x
    x = 97,305.38/331.00
  6. Step 6: Final answer
    x = 293.98

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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.