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Finding the Fourth Proportional to 39.68, 54.62 and 34.22

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Solution

The fourth proportional to 39.68, 54.62 and 34.22 is: 47.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.68 : 54.62 = 34.22 : x
  2. Step 2: Convert to fraction form
    39.68/54.62 = 34.22/x
  3. Step 3: Cross multiply
    39.68x = 54.62 × 34.22
  4. Step 4: Simplify right side
    39.68x = 1,868.79
  5. Step 5: Solve for x
    x = 1,868.79/39.68
  6. Step 6: Final answer
    x = 47.09

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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.