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Finding the Fourth Proportional to 30.75, 46.16 and 20.57

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Solution

The fourth proportional to 30.75, 46.16 and 20.57 is: 30.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 46.16 = 20.57 : x
  2. Step 2: Convert to fraction form
    30.75/46.16 = 20.57/x
  3. Step 3: Cross multiply
    30.75x = 46.16 × 20.57
  4. Step 4: Simplify right side
    30.75x = 949.18
  5. Step 5: Solve for x
    x = 949.18/30.75
  6. Step 6: Final answer
    x = 30.87

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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.