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Finding the Fourth Proportional to 25.31, 37.96 and 19.85

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Solution

The fourth proportional to 25.31, 37.96 and 19.85 is: 29.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.31 : 37.96 = 19.85 : x
  2. Step 2: Convert to fraction form
    25.31/37.96 = 19.85/x
  3. Step 3: Cross multiply
    25.31x = 37.96 × 19.85
  4. Step 4: Simplify right side
    25.31x = 753.27
  5. Step 5: Solve for x
    x = 753.27/25.31
  6. Step 6: Final answer
    x = 29.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.