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Finding the Fourth Proportional to 185.02, 255.24 and 138.24

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Solution

The fourth proportional to 185.02, 255.24 and 138.24 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.02 : 255.24 = 138.24 : x
  2. Step 2: Convert to fraction form
    185.02/255.24 = 138.24/x
  3. Step 3: Cross multiply
    185.02x = 255.24 × 138.24
  4. Step 4: Simplify right side
    185.02x = 35,284.38
  5. Step 5: Solve for x
    x = 35,284.38/185.02
  6. Step 6: Final answer
    x = 190.71

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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.