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Finding the Fourth Proportional to 49.82, 68.76 and 30.43

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Solution

The fourth proportional to 49.82, 68.76 and 30.43 is: 41.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.82 : 68.76 = 30.43 : x
  2. Step 2: Convert to fraction form
    49.82/68.76 = 30.43/x
  3. Step 3: Cross multiply
    49.82x = 68.76 × 30.43
  4. Step 4: Simplify right side
    49.82x = 2,092.02
  5. Step 5: Solve for x
    x = 2,092.02/49.82
  6. Step 6: Final answer
    x = 41.99

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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.