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Finding the Fourth Proportional to 232.12, 319.99 and 185.63

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Solution

The fourth proportional to 232.12, 319.99 and 185.63 is: 255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.12 : 319.99 = 185.63 : x
  2. Step 2: Convert to fraction form
    232.12/319.99 = 185.63/x
  3. Step 3: Cross multiply
    232.12x = 319.99 × 185.63
  4. Step 4: Simplify right side
    232.12x = 59,399.74
  5. Step 5: Solve for x
    x = 59,399.74/232.12
  6. Step 6: Final answer
    x = 255.90

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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.