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Finding the Fourth Proportional to 38.66, 52.99 and 37.97

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Solution

The fourth proportional to 38.66, 52.99 and 37.97 is: 52.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.66 : 52.99 = 37.97 : x
  2. Step 2: Convert to fraction form
    38.66/52.99 = 37.97/x
  3. Step 3: Cross multiply
    38.66x = 52.99 × 37.97
  4. Step 4: Simplify right side
    38.66x = 2,012.03
  5. Step 5: Solve for x
    x = 2,012.03/38.66
  6. Step 6: Final answer
    x = 52.04

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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.