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Finding the Fourth Proportional to 28.68, 42.94 and 28.08

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Solution

The fourth proportional to 28.68, 42.94 and 28.08 is: 42.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.68 : 42.94 = 28.08 : x
  2. Step 2: Convert to fraction form
    28.68/42.94 = 28.08/x
  3. Step 3: Cross multiply
    28.68x = 42.94 × 28.08
  4. Step 4: Simplify right side
    28.68x = 1,205.76
  5. Step 5: Solve for x
    x = 1,205.76/28.68
  6. Step 6: Final answer
    x = 42.04

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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.