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Finding the Fourth Proportional to 30.75, 45.92 and 27.33

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Solution

The fourth proportional to 30.75, 45.92 and 27.33 is: 40.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 45.92 = 27.33 : x
  2. Step 2: Convert to fraction form
    30.75/45.92 = 27.33/x
  3. Step 3: Cross multiply
    30.75x = 45.92 × 27.33
  4. Step 4: Simplify right side
    30.75x = 1,254.86
  5. Step 5: Solve for x
    x = 1,254.86/30.75
  6. Step 6: Final answer
    x = 40.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.