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Finding the Fourth Proportional to 439.56, 659.82 and 257.31

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Solution

The fourth proportional to 439.56, 659.82 and 257.31 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.56 : 659.82 = 257.31 : x
  2. Step 2: Convert to fraction form
    439.56/659.82 = 257.31/x
  3. Step 3: Cross multiply
    439.56x = 659.82 × 257.31
  4. Step 4: Simplify right side
    439.56x = 169,778.28
  5. Step 5: Solve for x
    x = 169,778.28/439.56
  6. Step 6: Final answer
    x = 386.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.