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Finding the Fourth Proportional to 144.52, 199.50 and 107.74

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Solution

The fourth proportional to 144.52, 199.50 and 107.74 is: 148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.52 : 199.50 = 107.74 : x
  2. Step 2: Convert to fraction form
    144.52/199.50 = 107.74/x
  3. Step 3: Cross multiply
    144.52x = 199.50 × 107.74
  4. Step 4: Simplify right side
    144.52x = 21,494.13
  5. Step 5: Solve for x
    x = 21,494.13/144.52
  6. Step 6: Final answer
    x = 148.73

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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.