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Finding the Fourth Proportional to 331.02, 456.57 and 257.31

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Solution

The fourth proportional to 331.02, 456.57 and 257.31 is: 354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.02 : 456.57 = 257.31 : x
  2. Step 2: Convert to fraction form
    331.02/456.57 = 257.31/x
  3. Step 3: Cross multiply
    331.02x = 456.57 × 257.31
  4. Step 4: Simplify right side
    331.02x = 117,480.03
  5. Step 5: Solve for x
    x = 117,480.03/331.02
  6. Step 6: Final answer
    x = 354.90

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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.