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Finding the Fourth Proportional to 50.09, 74.97 and 40.98

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Solution

The fourth proportional to 50.09, 74.97 and 40.98 is: 61.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.09 : 74.97 = 40.98 : x
  2. Step 2: Convert to fraction form
    50.09/74.97 = 40.98/x
  3. Step 3: Cross multiply
    50.09x = 74.97 × 40.98
  4. Step 4: Simplify right side
    50.09x = 3,072.27
  5. Step 5: Solve for x
    x = 3,072.27/50.09
  6. Step 6: Final answer
    x = 61.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.