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Finding the Fourth Proportional to 23.15, 34.90 and 21.91

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Solution

The fourth proportional to 23.15, 34.90 and 21.91 is: 33.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.15 : 34.90 = 21.91 : x
  2. Step 2: Convert to fraction form
    23.15/34.90 = 21.91/x
  3. Step 3: Cross multiply
    23.15x = 34.90 × 21.91
  4. Step 4: Simplify right side
    23.15x = 764.50
  5. Step 5: Solve for x
    x = 764.50/23.15
  6. Step 6: Final answer
    x = 33.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.