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Finding the Fourth Proportional to 184.87, 255.21 and 140.62

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Solution

The fourth proportional to 184.87, 255.21 and 140.62 is: 194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.87 : 255.21 = 140.62 : x
  2. Step 2: Convert to fraction form
    184.87/255.21 = 140.62/x
  3. Step 3: Cross multiply
    184.87x = 255.21 × 140.62
  4. Step 4: Simplify right side
    184.87x = 35,886.50
  5. Step 5: Solve for x
    x = 35,886.50/184.87
  6. Step 6: Final answer
    x = 194.12

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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.