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Finding the Fourth Proportional to 331.01, 456.89 and 213.02

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Solution

The fourth proportional to 331.01, 456.89 and 213.02 is: 294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.01 : 456.89 = 213.02 : x
  2. Step 2: Convert to fraction form
    331.01/456.89 = 213.02/x
  3. Step 3: Cross multiply
    331.01x = 456.89 × 213.02
  4. Step 4: Simplify right side
    331.01x = 97,323.36
  5. Step 5: Solve for x
    x = 97,323.36/331.01
  6. Step 6: Final answer
    x = 294.02

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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.