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Finding the Fourth Proportional to 235.38, 324.09 and 207.84

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Solution

The fourth proportional to 235.38, 324.09 and 207.84 is: 286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.38 : 324.09 = 207.84 : x
  2. Step 2: Convert to fraction form
    235.38/324.09 = 207.84/x
  3. Step 3: Cross multiply
    235.38x = 324.09 × 207.84
  4. Step 4: Simplify right side
    235.38x = 67,358.87
  5. Step 5: Solve for x
    x = 67,358.87/235.38
  6. Step 6: Final answer
    x = 286.17

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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.