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Finding the Fourth Proportional to 31.54, 43.50 and 28.08

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Solution

The fourth proportional to 31.54, 43.50 and 28.08 is: 38.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.54 : 43.50 = 28.08 : x
  2. Step 2: Convert to fraction form
    31.54/43.50 = 28.08/x
  3. Step 3: Cross multiply
    31.54x = 43.50 × 28.08
  4. Step 4: Simplify right side
    31.54x = 1,221.48
  5. Step 5: Solve for x
    x = 1,221.48/31.54
  6. Step 6: Final answer
    x = 38.73

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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.