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Finding the Fourth Proportional to 76.00, 113.98 and 21.88

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Solution

The fourth proportional to 76.00, 113.98 and 21.88 is: 32.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.00 : 113.98 = 21.88 : x
  2. Step 2: Convert to fraction form
    76.00/113.98 = 21.88/x
  3. Step 3: Cross multiply
    76.00x = 113.98 × 21.88
  4. Step 4: Simplify right side
    76.00x = 2,493.31
  5. Step 5: Solve for x
    x = 2,493.31/76.00
  6. Step 6: Final answer
    x = 32.81

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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.