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Finding the Fourth Proportional to 30.75, 46.12 and 22.62

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Solution

The fourth proportional to 30.75, 46.12 and 22.62 is: 33.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 46.12 = 22.62 : x
  2. Step 2: Convert to fraction form
    30.75/46.12 = 22.62/x
  3. Step 3: Cross multiply
    30.75x = 46.12 × 22.62
  4. Step 4: Simplify right side
    30.75x = 1,043.23
  5. Step 5: Solve for x
    x = 1,043.23/30.75
  6. Step 6: Final answer
    x = 33.93

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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.