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Finding the Fourth Proportional to 62.82, 94.32 and 30.78

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Solution

The fourth proportional to 62.82, 94.32 and 30.78 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.82 : 94.32 = 30.78 : x
  2. Step 2: Convert to fraction form
    62.82/94.32 = 30.78/x
  3. Step 3: Cross multiply
    62.82x = 94.32 × 30.78
  4. Step 4: Simplify right side
    62.82x = 2,903.17
  5. Step 5: Solve for x
    x = 2,903.17/62.82
  6. Step 6: Final answer
    x = 46.21

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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.