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Finding the Fourth Proportional to 28.54, 42.75 and 28.23

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Solution

The fourth proportional to 28.54, 42.75 and 28.23 is: 42.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.54 : 42.75 = 28.23 : x
  2. Step 2: Convert to fraction form
    28.54/42.75 = 28.23/x
  3. Step 3: Cross multiply
    28.54x = 42.75 × 28.23
  4. Step 4: Simplify right side
    28.54x = 1,206.94
  5. Step 5: Solve for x
    x = 1,206.94/28.54
  6. Step 6: Final answer
    x = 42.29

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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.