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Finding the Fourth Proportional to 48.90, 67.49 and 30.23

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Solution

The fourth proportional to 48.90, 67.49 and 30.23 is: 41.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.90 : 67.49 = 30.23 : x
  2. Step 2: Convert to fraction form
    48.90/67.49 = 30.23/x
  3. Step 3: Cross multiply
    48.90x = 67.49 × 30.23
  4. Step 4: Simplify right side
    48.90x = 2,040.57
  5. Step 5: Solve for x
    x = 2,040.57/48.90
  6. Step 6: Final answer
    x = 41.73

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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.