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Finding the Fourth Proportional to 23.02, 34.51 and 8.57

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Solution

The fourth proportional to 23.02, 34.51 and 8.57 is: 12.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.02 : 34.51 = 8.57 : x
  2. Step 2: Convert to fraction form
    23.02/34.51 = 8.57/x
  3. Step 3: Cross multiply
    23.02x = 34.51 × 8.57
  4. Step 4: Simplify right side
    23.02x = 295.75
  5. Step 5: Solve for x
    x = 295.75/23.02
  6. Step 6: Final answer
    x = 12.85

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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.