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Finding the Fourth Proportional to 103.97, 143.52 and 74.90

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Solution

The fourth proportional to 103.97, 143.52 and 74.90 is: 103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 143.52 = 74.90 : x
  2. Step 2: Convert to fraction form
    103.97/143.52 = 74.90/x
  3. Step 3: Cross multiply
    103.97x = 143.52 × 74.90
  4. Step 4: Simplify right side
    103.97x = 10,749.65
  5. Step 5: Solve for x
    x = 10,749.65/103.97
  6. Step 6: Final answer
    x = 103.39

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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.