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Finding the Fourth Proportional to 144.60, 199.50 and 92.88

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Solution

The fourth proportional to 144.60, 199.50 and 92.88 is: 128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.60 : 199.50 = 92.88 : x
  2. Step 2: Convert to fraction form
    144.60/199.50 = 92.88/x
  3. Step 3: Cross multiply
    144.60x = 199.50 × 92.88
  4. Step 4: Simplify right side
    144.60x = 18,529.56
  5. Step 5: Solve for x
    x = 18,529.56/144.60
  6. Step 6: Final answer
    x = 128.14

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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.