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Finding the Fourth Proportional to 38.20, 57.62 and 37.64

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Solution

The fourth proportional to 38.20, 57.62 and 37.64 is: 56.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.20 : 57.62 = 37.64 : x
  2. Step 2: Convert to fraction form
    38.20/57.62 = 37.64/x
  3. Step 3: Cross multiply
    38.20x = 57.62 × 37.64
  4. Step 4: Simplify right side
    38.20x = 2,168.82
  5. Step 5: Solve for x
    x = 2,168.82/38.20
  6. Step 6: Final answer
    x = 56.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.