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Finding the Fourth Proportional to 39.85, 54.75 and 32.55

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Solution

The fourth proportional to 39.85, 54.75 and 32.55 is: 44.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.85 : 54.75 = 32.55 : x
  2. Step 2: Convert to fraction form
    39.85/54.75 = 32.55/x
  3. Step 3: Cross multiply
    39.85x = 54.75 × 32.55
  4. Step 4: Simplify right side
    39.85x = 1,782.11
  5. Step 5: Solve for x
    x = 1,782.11/39.85
  6. Step 6: Final answer
    x = 44.72

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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.