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Finding the Fourth Proportional to 49.21, 67.82 and 46.31

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Solution

The fourth proportional to 49.21, 67.82 and 46.31 is: 63.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.21 : 67.82 = 46.31 : x
  2. Step 2: Convert to fraction form
    49.21/67.82 = 46.31/x
  3. Step 3: Cross multiply
    49.21x = 67.82 × 46.31
  4. Step 4: Simplify right side
    49.21x = 3,140.17
  5. Step 5: Solve for x
    x = 3,140.17/49.21
  6. Step 6: Final answer
    x = 63.81

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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.