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Finding the Fourth Proportional to 49.96, 69.02 and 44.48

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Solution

The fourth proportional to 49.96, 69.02 and 44.48 is: 61.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.96 : 69.02 = 44.48 : x
  2. Step 2: Convert to fraction form
    49.96/69.02 = 44.48/x
  3. Step 3: Cross multiply
    49.96x = 69.02 × 44.48
  4. Step 4: Simplify right side
    49.96x = 3,070.01
  5. Step 5: Solve for x
    x = 3,070.01/49.96
  6. Step 6: Final answer
    x = 61.45

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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.