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Finding the Fourth Proportional to 44.20, 61 and 34.48

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Solution

The fourth proportional to 44.20, 61 and 34.48 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.20 : 61 = 34.48 : x
  2. Step 2: Convert to fraction form
    44.20/61 = 34.48/x
  3. Step 3: Cross multiply
    44.20x = 61 × 34.48
  4. Step 4: Simplify right side
    44.20x = 2,103.28
  5. Step 5: Solve for x
    x = 2,103.28/44.20
  6. Step 6: Final answer
    x = 47.59

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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.