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Finding the Fourth Proportional to 23.50, 35.06 and 21.22

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Solution

The fourth proportional to 23.50, 35.06 and 21.22 is: 31.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.50 : 35.06 = 21.22 : x
  2. Step 2: Convert to fraction form
    23.50/35.06 = 21.22/x
  3. Step 3: Cross multiply
    23.50x = 35.06 × 21.22
  4. Step 4: Simplify right side
    23.50x = 743.97
  5. Step 5: Solve for x
    x = 743.97/23.50
  6. Step 6: Final answer
    x = 31.66

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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.