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Finding the Fourth Proportional to 39.54, 54.52 and 30.78

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Solution

The fourth proportional to 39.54, 54.52 and 30.78 is: 42.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.54 : 54.52 = 30.78 : x
  2. Step 2: Convert to fraction form
    39.54/54.52 = 30.78/x
  3. Step 3: Cross multiply
    39.54x = 54.52 × 30.78
  4. Step 4: Simplify right side
    39.54x = 1,678.05
  5. Step 5: Solve for x
    x = 1,678.05/39.54
  6. Step 6: Final answer
    x = 42.44

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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.