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Finding the Fourth Proportional to 49.99, 75.03 and 25.96

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Solution

The fourth proportional to 49.99, 75.03 and 25.96 is: 38.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.99 : 75.03 = 25.96 : x
  2. Step 2: Convert to fraction form
    49.99/75.03 = 25.96/x
  3. Step 3: Cross multiply
    49.99x = 75.03 × 25.96
  4. Step 4: Simplify right side
    49.99x = 1,947.78
  5. Step 5: Solve for x
    x = 1,947.78/49.99
  6. Step 6: Final answer
    x = 38.96

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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.