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Finding the Fourth Proportional to 323.50, 446.48 and 207.31

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Solution

The fourth proportional to 323.50, 446.48 and 207.31 is: 286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.50 : 446.48 = 207.31 : x
  2. Step 2: Convert to fraction form
    323.50/446.48 = 207.31/x
  3. Step 3: Cross multiply
    323.50x = 446.48 × 207.31
  4. Step 4: Simplify right side
    323.50x = 92,559.77
  5. Step 5: Solve for x
    x = 92,559.77/323.50
  6. Step 6: Final answer
    x = 286.12

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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.