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Finding the Fourth Proportional to 69.96, 104.94 and 21.87

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Solution

The fourth proportional to 69.96, 104.94 and 21.87 is: 32.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.96 : 104.94 = 21.87 : x
  2. Step 2: Convert to fraction form
    69.96/104.94 = 21.87/x
  3. Step 3: Cross multiply
    69.96x = 104.94 × 21.87
  4. Step 4: Simplify right side
    69.96x = 2,294.77
  5. Step 5: Solve for x
    x = 2,294.77/69.96
  6. Step 6: Final answer
    x = 32.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.