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Finding the Fourth Proportional to 76.74, 105.89 and 44.00

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Solution

The fourth proportional to 76.74, 105.89 and 44.00 is: 60.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.74 : 105.89 = 44.00 : x
  2. Step 2: Convert to fraction form
    76.74/105.89 = 44.00/x
  3. Step 3: Cross multiply
    76.74x = 105.89 × 44.00
  4. Step 4: Simplify right side
    76.74x = 4,659.53
  5. Step 5: Solve for x
    x = 4,659.53/76.74
  6. Step 6: Final answer
    x = 60.72

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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.