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Finding the Fourth Proportional to 75.44, 104.15 and 49.24

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Solution

The fourth proportional to 75.44, 104.15 and 49.24 is: 67.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.44 : 104.15 = 49.24 : x
  2. Step 2: Convert to fraction form
    75.44/104.15 = 49.24/x
  3. Step 3: Cross multiply
    75.44x = 104.15 × 49.24
  4. Step 4: Simplify right side
    75.44x = 5,128.09
  5. Step 5: Solve for x
    x = 5,128.09/75.44
  6. Step 6: Final answer
    x = 67.98

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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.