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Finding the Fourth Proportional to 144.53, 199.37 and 92.01

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Solution

The fourth proportional to 144.53, 199.37 and 92.01 is: 126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.53 : 199.37 = 92.01 : x
  2. Step 2: Convert to fraction form
    144.53/199.37 = 92.01/x
  3. Step 3: Cross multiply
    144.53x = 199.37 × 92.01
  4. Step 4: Simplify right side
    144.53x = 18,343.57
  5. Step 5: Solve for x
    x = 18,343.57/144.53
  6. Step 6: Final answer
    x = 126.92

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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.