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Finding the Fourth Proportional to 66.40, 91.62 and 38

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Solution

The fourth proportional to 66.40, 91.62 and 38 is: 52.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.40 : 91.62 = 38 : x
  2. Step 2: Convert to fraction form
    66.40/91.62 = 38/x
  3. Step 3: Cross multiply
    66.40x = 91.62 × 38
  4. Step 4: Simplify right side
    66.40x = 3,481.56
  5. Step 5: Solve for x
    x = 3,481.56/66.40
  6. Step 6: Final answer
    x = 52.43

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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.