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Finding the Fourth Proportional to 23.12, 34.61 and 21.99

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Solution

The fourth proportional to 23.12, 34.61 and 21.99 is: 32.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.12 : 34.61 = 21.99 : x
  2. Step 2: Convert to fraction form
    23.12/34.61 = 21.99/x
  3. Step 3: Cross multiply
    23.12x = 34.61 × 21.99
  4. Step 4: Simplify right side
    23.12x = 760.96
  5. Step 5: Solve for x
    x = 760.96/23.12
  6. Step 6: Final answer
    x = 32.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.