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Finding the Fourth Proportional to 76.72, 105.94 and 74.22

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Solution

The fourth proportional to 76.72, 105.94 and 74.22 is: 102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 105.94 = 74.22 : x
  2. Step 2: Convert to fraction form
    76.72/105.94 = 74.22/x
  3. Step 3: Cross multiply
    76.72x = 105.94 × 74.22
  4. Step 4: Simplify right side
    76.72x = 7,862.87
  5. Step 5: Solve for x
    x = 7,862.87/76.72
  6. Step 6: Final answer
    x = 102.49

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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.