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Finding the Fourth Proportional to 331.12, 456.80 and 212.88

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Solution

The fourth proportional to 331.12, 456.80 and 212.88 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.12 : 456.80 = 212.88 : x
  2. Step 2: Convert to fraction form
    331.12/456.80 = 212.88/x
  3. Step 3: Cross multiply
    331.12x = 456.80 × 212.88
  4. Step 4: Simplify right side
    331.12x = 97,243.58
  5. Step 5: Solve for x
    x = 97,243.58/331.12
  6. Step 6: Final answer
    x = 293.68

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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.