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Finding the Fourth Proportional to 329.51, 494.56 and 167.31

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Solution

The fourth proportional to 329.51, 494.56 and 167.31 is: 251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.51 : 494.56 = 167.31 : x
  2. Step 2: Convert to fraction form
    329.51/494.56 = 167.31/x
  3. Step 3: Cross multiply
    329.51x = 494.56 × 167.31
  4. Step 4: Simplify right side
    329.51x = 82,744.83
  5. Step 5: Solve for x
    x = 82,744.83/329.51
  6. Step 6: Final answer
    x = 251.11

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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.