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Finding the Fourth Proportional to 235.04, 323.33 and 206.96

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Solution

The fourth proportional to 235.04, 323.33 and 206.96 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.04 : 323.33 = 206.96 : x
  2. Step 2: Convert to fraction form
    235.04/323.33 = 206.96/x
  3. Step 3: Cross multiply
    235.04x = 323.33 × 206.96
  4. Step 4: Simplify right side
    235.04x = 66,913.73
  5. Step 5: Solve for x
    x = 66,913.73/235.04
  6. Step 6: Final answer
    x = 284.70

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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.