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Finding the Fourth Proportional to 73.21, 110.22 and 66.83

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Solution

The fourth proportional to 73.21, 110.22 and 66.83 is: 100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.21 : 110.22 = 66.83 : x
  2. Step 2: Convert to fraction form
    73.21/110.22 = 66.83/x
  3. Step 3: Cross multiply
    73.21x = 110.22 × 66.83
  4. Step 4: Simplify right side
    73.21x = 7,366.28
  5. Step 5: Solve for x
    x = 7,366.28/73.21
  6. Step 6: Final answer
    x = 100.62

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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.