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Finding the Fourth Proportional to 323.35, 485.18 and 138.31

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Solution

The fourth proportional to 323.35, 485.18 and 138.31 is: 207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.35 : 485.18 = 138.31 : x
  2. Step 2: Convert to fraction form
    323.35/485.18 = 138.31/x
  3. Step 3: Cross multiply
    323.35x = 485.18 × 138.31
  4. Step 4: Simplify right side
    323.35x = 67,103.67
  5. Step 5: Solve for x
    x = 67,103.67/323.35
  6. Step 6: Final answer
    x = 207.52

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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.