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Finding the Fourth Proportional to 233.87, 323.46 and 209.25

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Solution

The fourth proportional to 233.87, 323.46 and 209.25 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.87 : 323.46 = 209.25 : x
  2. Step 2: Convert to fraction form
    233.87/323.46 = 209.25/x
  3. Step 3: Cross multiply
    233.87x = 323.46 × 209.25
  4. Step 4: Simplify right side
    233.87x = 67,684.01
  5. Step 5: Solve for x
    x = 67,684.01/233.87
  6. Step 6: Final answer
    x = 289.41

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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.