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Finding the Fourth Proportional to 28.99, 39.96 and 19.77

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Solution

The fourth proportional to 28.99, 39.96 and 19.77 is: 27.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.99 : 39.96 = 19.77 : x
  2. Step 2: Convert to fraction form
    28.99/39.96 = 19.77/x
  3. Step 3: Cross multiply
    28.99x = 39.96 × 19.77
  4. Step 4: Simplify right side
    28.99x = 789.81
  5. Step 5: Solve for x
    x = 789.81/28.99
  6. Step 6: Final answer
    x = 27.25

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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.