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Finding the Fourth Proportional to 143.40, 197.91 and 104.19

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Solution

The fourth proportional to 143.40, 197.91 and 104.19 is: 143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 197.91 = 104.19 : x
  2. Step 2: Convert to fraction form
    143.40/197.91 = 104.19/x
  3. Step 3: Cross multiply
    143.40x = 197.91 × 104.19
  4. Step 4: Simplify right side
    143.40x = 20,620.24
  5. Step 5: Solve for x
    x = 20,620.24/143.40
  6. Step 6: Final answer
    x = 143.80

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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.