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Finding the Fourth Proportional to 331.21, 456.97 and 257.40

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Solution

The fourth proportional to 331.21, 456.97 and 257.40 is: 355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.21 : 456.97 = 257.40 : x
  2. Step 2: Convert to fraction form
    331.21/456.97 = 257.40/x
  3. Step 3: Cross multiply
    331.21x = 456.97 × 257.40
  4. Step 4: Simplify right side
    331.21x = 117,624.08
  5. Step 5: Solve for x
    x = 117,624.08/331.21
  6. Step 6: Final answer
    x = 355.13

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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.