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Finding the Fourth Proportional to 23.50, 32.22 and 21.07

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Solution

The fourth proportional to 23.50, 32.22 and 21.07 is: 28.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.50 : 32.22 = 21.07 : x
  2. Step 2: Convert to fraction form
    23.50/32.22 = 21.07/x
  3. Step 3: Cross multiply
    23.50x = 32.22 × 21.07
  4. Step 4: Simplify right side
    23.50x = 678.88
  5. Step 5: Solve for x
    x = 678.88/23.50
  6. Step 6: Final answer
    x = 28.89

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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.