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Finding the Fourth Proportional to 23.46, 34.99 and 20.05

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Solution

The fourth proportional to 23.46, 34.99 and 20.05 is: 29.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.46 : 34.99 = 20.05 : x
  2. Step 2: Convert to fraction form
    23.46/34.99 = 20.05/x
  3. Step 3: Cross multiply
    23.46x = 34.99 × 20.05
  4. Step 4: Simplify right side
    23.46x = 701.41
  5. Step 5: Solve for x
    x = 701.41/23.46
  6. Step 6: Final answer
    x = 29.90

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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.