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Finding the Fourth Proportional to 67.10, 92.62 and 38

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Solution

The fourth proportional to 67.10, 92.62 and 38 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.10 : 92.62 = 38 : x
  2. Step 2: Convert to fraction form
    67.10/92.62 = 38/x
  3. Step 3: Cross multiply
    67.10x = 92.62 × 38
  4. Step 4: Simplify right side
    67.10x = 3,519.56
  5. Step 5: Solve for x
    x = 3,519.56/67.10
  6. Step 6: Final answer
    x = 52.45

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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.