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Finding the Fourth Proportional to 73.46, 100.82 and 72.44

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Solution

The fourth proportional to 73.46, 100.82 and 72.44 is: 99.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.46 : 100.82 = 72.44 : x
  2. Step 2: Convert to fraction form
    73.46/100.82 = 72.44/x
  3. Step 3: Cross multiply
    73.46x = 100.82 × 72.44
  4. Step 4: Simplify right side
    73.46x = 7,303.40
  5. Step 5: Solve for x
    x = 7,303.40/73.46
  6. Step 6: Final answer
    x = 99.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.