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Finding the Fourth Proportional to 28.25, 38.92 and 23.65

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Solution

The fourth proportional to 28.25, 38.92 and 23.65 is: 32.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.25 : 38.92 = 23.65 : x
  2. Step 2: Convert to fraction form
    28.25/38.92 = 23.65/x
  3. Step 3: Cross multiply
    28.25x = 38.92 × 23.65
  4. Step 4: Simplify right side
    28.25x = 920.35
  5. Step 5: Solve for x
    x = 920.35/28.25
  6. Step 6: Final answer
    x = 32.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.