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Finding the Fourth Proportional to 23.28, 31.97 and 21.66

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Solution

The fourth proportional to 23.28, 31.97 and 21.66 is: 29.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.28 : 31.97 = 21.66 : x
  2. Step 2: Convert to fraction form
    23.28/31.97 = 21.66/x
  3. Step 3: Cross multiply
    23.28x = 31.97 × 21.66
  4. Step 4: Simplify right side
    23.28x = 692.36
  5. Step 5: Solve for x
    x = 692.36/23.28
  6. Step 6: Final answer
    x = 29.74

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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.