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Finding the Fourth Proportional to 30.92, 42.55 and 28.33

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Solution

The fourth proportional to 30.92, 42.55 and 28.33 is: 38.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.92 : 42.55 = 28.33 : x
  2. Step 2: Convert to fraction form
    30.92/42.55 = 28.33/x
  3. Step 3: Cross multiply
    30.92x = 42.55 × 28.33
  4. Step 4: Simplify right side
    30.92x = 1,205.44
  5. Step 5: Solve for x
    x = 1,205.44/30.92
  6. Step 6: Final answer
    x = 38.99

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1.5x scale

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.