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Finding the Fourth Proportional to 39.65, 54.94 and 38.23

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Solution

The fourth proportional to 39.65, 54.94 and 38.23 is: 52.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.65 : 54.94 = 38.23 : x
  2. Step 2: Convert to fraction form
    39.65/54.94 = 38.23/x
  3. Step 3: Cross multiply
    39.65x = 54.94 × 38.23
  4. Step 4: Simplify right side
    39.65x = 2,100.36
  5. Step 5: Solve for x
    x = 2,100.36/39.65
  6. Step 6: Final answer
    x = 52.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.