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Finding the Fourth Proportional to 74.98, 104 and 72.25

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Solution

The fourth proportional to 74.98, 104 and 72.25 is: 100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.98 : 104 = 72.25 : x
  2. Step 2: Convert to fraction form
    74.98/104 = 72.25/x
  3. Step 3: Cross multiply
    74.98x = 104 × 72.25
  4. Step 4: Simplify right side
    74.98x = 7,514
  5. Step 5: Solve for x
    x = 7,514/74.98
  6. Step 6: Final answer
    x = 100.21

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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.