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Finding the Fourth Proportional to 38.67, 53.68 and 38.33

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Solution

The fourth proportional to 38.67, 53.68 and 38.33 is: 53.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.67 : 53.68 = 38.33 : x
  2. Step 2: Convert to fraction form
    38.67/53.68 = 38.33/x
  3. Step 3: Cross multiply
    38.67x = 53.68 × 38.33
  4. Step 4: Simplify right side
    38.67x = 2,057.55
  5. Step 5: Solve for x
    x = 2,057.55/38.67
  6. Step 6: Final answer
    x = 53.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.