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Finding the Fourth Proportional to 144.83, 199.73 and 103.59

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Solution

The fourth proportional to 144.83, 199.73 and 103.59 is: 142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.83 : 199.73 = 103.59 : x
  2. Step 2: Convert to fraction form
    144.83/199.73 = 103.59/x
  3. Step 3: Cross multiply
    144.83x = 199.73 × 103.59
  4. Step 4: Simplify right side
    144.83x = 20,690.29
  5. Step 5: Solve for x
    x = 20,690.29/144.83
  6. Step 6: Final answer
    x = 142.86

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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.