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Finding the Fourth Proportional to 73.64, 111.26 and 73

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Solution

The fourth proportional to 73.64, 111.26 and 73 is: 110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.64 : 111.26 = 73 : x
  2. Step 2: Convert to fraction form
    73.64/111.26 = 73/x
  3. Step 3: Cross multiply
    73.64x = 111.26 × 73
  4. Step 4: Simplify right side
    73.64x = 8,121.98
  5. Step 5: Solve for x
    x = 8,121.98/73.64
  6. Step 6: Final answer
    x = 110.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.