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Finding the Fourth Proportional to 232.07, 347.84 and 123.80

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Solution

The fourth proportional to 232.07, 347.84 and 123.80 is: 185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.07 : 347.84 = 123.80 : x
  2. Step 2: Convert to fraction form
    232.07/347.84 = 123.80/x
  3. Step 3: Cross multiply
    232.07x = 347.84 × 123.80
  4. Step 4: Simplify right side
    232.07x = 43,061.97
  5. Step 5: Solve for x
    x = 43,061.97/232.07
  6. Step 6: Final answer
    x = 185.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.