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Finding the Fourth Proportional to 185.26, 255.64 and 106.57

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Solution

The fourth proportional to 185.26, 255.64 and 106.57 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.26 : 255.64 = 106.57 : x
  2. Step 2: Convert to fraction form
    185.26/255.64 = 106.57/x
  3. Step 3: Cross multiply
    185.26x = 255.64 × 106.57
  4. Step 4: Simplify right side
    185.26x = 27,242.28
  5. Step 5: Solve for x
    x = 27,242.28/185.26
  6. Step 6: Final answer
    x = 147.05

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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.