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Finding the Fourth Proportional to 62.85, 94.20 and 30.75

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Solution

The fourth proportional to 62.85, 94.20 and 30.75 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.85 : 94.20 = 30.75 : x
  2. Step 2: Convert to fraction form
    62.85/94.20 = 30.75/x
  3. Step 3: Cross multiply
    62.85x = 94.20 × 30.75
  4. Step 4: Simplify right side
    62.85x = 2,896.65
  5. Step 5: Solve for x
    x = 2,896.65/62.85
  6. Step 6: Final answer
    x = 46.09

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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.