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Finding the Fourth Proportional to 33.12, 45.64 and 30.82

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Solution

The fourth proportional to 33.12, 45.64 and 30.82 is: 42.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 45.64 = 30.82 : x
  2. Step 2: Convert to fraction form
    33.12/45.64 = 30.82/x
  3. Step 3: Cross multiply
    33.12x = 45.64 × 30.82
  4. Step 4: Simplify right side
    33.12x = 1,406.62
  5. Step 5: Solve for x
    x = 1,406.62/33.12
  6. Step 6: Final answer
    x = 42.47

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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.