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Finding the Fourth Proportional to 439.31, 659.32 and 329.51

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Solution

The fourth proportional to 439.31, 659.32 and 329.51 is: 494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.31 : 659.32 = 329.51 : x
  2. Step 2: Convert to fraction form
    439.31/659.32 = 329.51/x
  3. Step 3: Cross multiply
    439.31x = 659.32 × 329.51
  4. Step 4: Simplify right side
    439.31x = 217,248.41
  5. Step 5: Solve for x
    x = 217,248.41/439.31
  6. Step 6: Final answer
    x = 494.53

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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.