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Finding the Fourth Proportional to 49.16, 67.73 and 38.63

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Solution

The fourth proportional to 49.16, 67.73 and 38.63 is: 53.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.16 : 67.73 = 38.63 : x
  2. Step 2: Convert to fraction form
    49.16/67.73 = 38.63/x
  3. Step 3: Cross multiply
    49.16x = 67.73 × 38.63
  4. Step 4: Simplify right side
    49.16x = 2,615.88
  5. Step 5: Solve for x
    x = 2,615.88/49.16
  6. Step 6: Final answer
    x = 53.22

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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.