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Finding the Fourth Proportional to 232.69, 319.92 and 207.56

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Solution

The fourth proportional to 232.69, 319.92 and 207.56 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 319.92 = 207.56 : x
  2. Step 2: Convert to fraction form
    232.69/319.92 = 207.56/x
  3. Step 3: Cross multiply
    232.69x = 319.92 × 207.56
  4. Step 4: Simplify right side
    232.69x = 66,403.78
  5. Step 5: Solve for x
    x = 66,403.78/232.69
  6. Step 6: Final answer
    x = 285.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.