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Finding the Fourth Proportional to 144.94, 200.13 and 117.27

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Solution

The fourth proportional to 144.94, 200.13 and 117.27 is: 161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.94 : 200.13 = 117.27 : x
  2. Step 2: Convert to fraction form
    144.94/200.13 = 117.27/x
  3. Step 3: Cross multiply
    144.94x = 200.13 × 117.27
  4. Step 4: Simplify right side
    144.94x = 23,469.25
  5. Step 5: Solve for x
    x = 23,469.25/144.94
  6. Step 6: Final answer
    x = 161.92

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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.