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Finding the Fourth Proportional to 28.28, 38.53 and 27.65

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Solution

The fourth proportional to 28.28, 38.53 and 27.65 is: 37.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.28 : 38.53 = 27.65 : x
  2. Step 2: Convert to fraction form
    28.28/38.53 = 27.65/x
  3. Step 3: Cross multiply
    28.28x = 38.53 × 27.65
  4. Step 4: Simplify right side
    28.28x = 1,065.45
  5. Step 5: Solve for x
    x = 1,065.45/28.28
  6. Step 6: Final answer
    x = 37.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.