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Finding the Fourth Proportional to 185.09, 255.24 and 143.57

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Solution

The fourth proportional to 185.09, 255.24 and 143.57 is: 197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.09 : 255.24 = 143.57 : x
  2. Step 2: Convert to fraction form
    185.09/255.24 = 143.57/x
  3. Step 3: Cross multiply
    185.09x = 255.24 × 143.57
  4. Step 4: Simplify right side
    185.09x = 36,644.81
  5. Step 5: Solve for x
    x = 36,644.81/185.09
  6. Step 6: Final answer
    x = 197.98

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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.