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Finding the Fourth Proportional to 144.41, 199.47 and 112.07

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Solution

The fourth proportional to 144.41, 199.47 and 112.07 is: 154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.41 : 199.47 = 112.07 : x
  2. Step 2: Convert to fraction form
    144.41/199.47 = 112.07/x
  3. Step 3: Cross multiply
    144.41x = 199.47 × 112.07
  4. Step 4: Simplify right side
    144.41x = 22,353.61
  5. Step 5: Solve for x
    x = 22,353.61/144.41
  6. Step 6: Final answer
    x = 154.80

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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.