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Finding the Fourth Proportional to 23.92, 35.72 and 21.40

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Solution

The fourth proportional to 23.92, 35.72 and 21.40 is: 31.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.92 : 35.72 = 21.40 : x
  2. Step 2: Convert to fraction form
    23.92/35.72 = 21.40/x
  3. Step 3: Cross multiply
    23.92x = 35.72 × 21.40
  4. Step 4: Simplify right side
    23.92x = 764.41
  5. Step 5: Solve for x
    x = 764.41/23.92
  6. Step 6: Final answer
    x = 31.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.