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Finding the Fourth Proportional to 38.21, 52.41 and 37.60

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Solution

The fourth proportional to 38.21, 52.41 and 37.60 is: 51.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.21 : 52.41 = 37.60 : x
  2. Step 2: Convert to fraction form
    38.21/52.41 = 37.60/x
  3. Step 3: Cross multiply
    38.21x = 52.41 × 37.60
  4. Step 4: Simplify right side
    38.21x = 1,970.63
  5. Step 5: Solve for x
    x = 1,970.63/38.21
  6. Step 6: Final answer
    x = 51.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.