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Finding the Fourth Proportional to 53.85, 74.31 and 31.73

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Solution

The fourth proportional to 53.85, 74.31 and 31.73 is: 43.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.85 : 74.31 = 31.73 : x
  2. Step 2: Convert to fraction form
    53.85/74.31 = 31.73/x
  3. Step 3: Cross multiply
    53.85x = 74.31 × 31.73
  4. Step 4: Simplify right side
    53.85x = 2,357.56
  5. Step 5: Solve for x
    x = 2,357.56/53.85
  6. Step 6: Final answer
    x = 43.78

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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.