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Finding the Fourth Proportional to 143.81, 198.34 and 104.47

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Solution

The fourth proportional to 143.81, 198.34 and 104.47 is: 144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.81 : 198.34 = 104.47 : x
  2. Step 2: Convert to fraction form
    143.81/198.34 = 104.47/x
  3. Step 3: Cross multiply
    143.81x = 198.34 × 104.47
  4. Step 4: Simplify right side
    143.81x = 20,720.58
  5. Step 5: Solve for x
    x = 20,720.58/143.81
  6. Step 6: Final answer
    x = 144.08

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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.