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Finding the Fourth Proportional to 77.36, 107.28 and 74.61

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Solution

The fourth proportional to 77.36, 107.28 and 74.61 is: 103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.36 : 107.28 = 74.61 : x
  2. Step 2: Convert to fraction form
    77.36/107.28 = 74.61/x
  3. Step 3: Cross multiply
    77.36x = 107.28 × 74.61
  4. Step 4: Simplify right side
    77.36x = 8,004.16
  5. Step 5: Solve for x
    x = 8,004.16/77.36
  6. Step 6: Final answer
    x = 103.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.