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Finding the Fourth Proportional to 331.12, 456.52 and 232.84

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Solution

The fourth proportional to 331.12, 456.52 and 232.84 is: 321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.12 : 456.52 = 232.84 : x
  2. Step 2: Convert to fraction form
    331.12/456.52 = 232.84/x
  3. Step 3: Cross multiply
    331.12x = 456.52 × 232.84
  4. Step 4: Simplify right side
    331.12x = 106,296.12
  5. Step 5: Solve for x
    x = 106,296.12/331.12
  6. Step 6: Final answer
    x = 321.02

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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.