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Finding the Fourth Proportional to 39.42, 54.31 and 27.75

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Solution

The fourth proportional to 39.42, 54.31 and 27.75 is: 38.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.42 : 54.31 = 27.75 : x
  2. Step 2: Convert to fraction form
    39.42/54.31 = 27.75/x
  3. Step 3: Cross multiply
    39.42x = 54.31 × 27.75
  4. Step 4: Simplify right side
    39.42x = 1,506.83
  5. Step 5: Solve for x
    x = 1,506.83/39.42
  6. Step 6: Final answer
    x = 38.23

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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.