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Finding the Fourth Proportional to 77.75, 107.30 and 43.25

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Solution

The fourth proportional to 77.75, 107.30 and 43.25 is: 59.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 107.30 = 43.25 : x
  2. Step 2: Convert to fraction form
    77.75/107.30 = 43.25/x
  3. Step 3: Cross multiply
    77.75x = 107.30 × 43.25
  4. Step 4: Simplify right side
    77.75x = 4,640.51
  5. Step 5: Solve for x
    x = 4,640.51/77.75
  6. Step 6: Final answer
    x = 59.69

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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.