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Finding the Fourth Proportional to 44.75, 61.75 and 28.14

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Solution

The fourth proportional to 44.75, 61.75 and 28.14 is: 38.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.75 : 61.75 = 28.14 : x
  2. Step 2: Convert to fraction form
    44.75/61.75 = 28.14/x
  3. Step 3: Cross multiply
    44.75x = 61.75 × 28.14
  4. Step 4: Simplify right side
    44.75x = 1,737.50
  5. Step 5: Solve for x
    x = 1,737.50/44.75
  6. Step 6: Final answer
    x = 38.83

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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.