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Finding the Fourth Proportional to 49.56, 74.75 and 44.28

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Solution

The fourth proportional to 49.56, 74.75 and 44.28 is: 66.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.56 : 74.75 = 44.28 : x
  2. Step 2: Convert to fraction form
    49.56/74.75 = 44.28/x
  3. Step 3: Cross multiply
    49.56x = 74.75 × 44.28
  4. Step 4: Simplify right side
    49.56x = 3,309.93
  5. Step 5: Solve for x
    x = 3,309.93/49.56
  6. Step 6: Final answer
    x = 66.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.