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Finding the Fourth Proportional to 39.49, 54.14 and 39.08

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Solution

The fourth proportional to 39.49, 54.14 and 39.08 is: 53.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.49 : 54.14 = 39.08 : x
  2. Step 2: Convert to fraction form
    39.49/54.14 = 39.08/x
  3. Step 3: Cross multiply
    39.49x = 54.14 × 39.08
  4. Step 4: Simplify right side
    39.49x = 2,115.73
  5. Step 5: Solve for x
    x = 2,115.73/39.49
  6. Step 6: Final answer
    x = 53.58

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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.