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Finding the Fourth Proportional to 185.31, 255.72 and 111.70

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Solution

The fourth proportional to 185.31, 255.72 and 111.70 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.31 : 255.72 = 111.70 : x
  2. Step 2: Convert to fraction form
    185.31/255.72 = 111.70/x
  3. Step 3: Cross multiply
    185.31x = 255.72 × 111.70
  4. Step 4: Simplify right side
    185.31x = 28,563.92
  5. Step 5: Solve for x
    x = 28,563.92/185.31
  6. Step 6: Final answer
    x = 154.14

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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.