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Finding the Fourth Proportional to 49.24, 67.84 and 36.28

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Solution

The fourth proportional to 49.24, 67.84 and 36.28 is: 49.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.24 : 67.84 = 36.28 : x
  2. Step 2: Convert to fraction form
    49.24/67.84 = 36.28/x
  3. Step 3: Cross multiply
    49.24x = 67.84 × 36.28
  4. Step 4: Simplify right side
    49.24x = 2,461.24
  5. Step 5: Solve for x
    x = 2,461.24/49.24
  6. Step 6: Final answer
    x = 49.98

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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.