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Finding the Fourth Proportional to 144.69, 200.71 and 139.65

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Solution

The fourth proportional to 144.69, 200.71 and 139.65 is: 193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.69 : 200.71 = 139.65 : x
  2. Step 2: Convert to fraction form
    144.69/200.71 = 139.65/x
  3. Step 3: Cross multiply
    144.69x = 200.71 × 139.65
  4. Step 4: Simplify right side
    144.69x = 28,028.80
  5. Step 5: Solve for x
    x = 28,028.80/144.69
  6. Step 6: Final answer
    x = 193.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.