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Finding the Fourth Proportional to 23.26, 34.69 and 23.20

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Solution

The fourth proportional to 23.26, 34.69 and 23.20 is: 34.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.26 : 34.69 = 23.20 : x
  2. Step 2: Convert to fraction form
    23.26/34.69 = 23.20/x
  3. Step 3: Cross multiply
    23.26x = 34.69 × 23.20
  4. Step 4: Simplify right side
    23.26x = 804.81
  5. Step 5: Solve for x
    x = 804.81/23.26
  6. Step 6: Final answer
    x = 34.60

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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.