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Finding the Fourth Proportional to 77.72, 107.25 and 42.75

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Solution

The fourth proportional to 77.72, 107.25 and 42.75 is: 58.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.72 : 107.25 = 42.75 : x
  2. Step 2: Convert to fraction form
    77.72/107.25 = 42.75/x
  3. Step 3: Cross multiply
    77.72x = 107.25 × 42.75
  4. Step 4: Simplify right side
    77.72x = 4,584.40
  5. Step 5: Solve for x
    x = 4,584.40/77.72
  6. Step 6: Final answer
    x = 58.99

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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.