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Finding the Fourth Proportional to 39.75, 54.86 and 30.03

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Solution

The fourth proportional to 39.75, 54.86 and 30.03 is: 41.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 54.86 = 30.03 : x
  2. Step 2: Convert to fraction form
    39.75/54.86 = 30.03/x
  3. Step 3: Cross multiply
    39.75x = 54.86 × 30.03
  4. Step 4: Simplify right side
    39.75x = 1,647.45
  5. Step 5: Solve for x
    x = 1,647.45/39.75
  6. Step 6: Final answer
    x = 41.45

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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.