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Finding the Fourth Proportional to 28.28, 42.28 and 23.18

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Solution

The fourth proportional to 28.28, 42.28 and 23.18 is: 34.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.28 : 42.28 = 23.18 : x
  2. Step 2: Convert to fraction form
    28.28/42.28 = 23.18/x
  3. Step 3: Cross multiply
    28.28x = 42.28 × 23.18
  4. Step 4: Simplify right side
    28.28x = 979.78
  5. Step 5: Solve for x
    x = 979.78/28.28
  6. Step 6: Final answer
    x = 34.64

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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.